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Finding the Fourth Proportional to 2,565.03, 3,847.55 and 1,980.89

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Solution

The fourth proportional to 2,565.03, 3,847.55 and 1,980.89 is: 2,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.03 : 3,847.55 = 1,980.89 : x
  2. Step 2: Convert to fraction form
    2,565.03/3,847.55 = 1,980.89/x
  3. Step 3: Cross multiply
    2,565.03x = 3,847.55 × 1,980.89
  4. Step 4: Simplify right side
    2,565.03x = 7,621,573.32
  5. Step 5: Solve for x
    x = 7,621,573.32/2,565.03
  6. Step 6: Final answer
    x = 2,971.34

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.