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Finding the Fourth Proportional to 2,583.01, 3,565.12 and 1,698.90

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Solution

The fourth proportional to 2,583.01, 3,565.12 and 1,698.90 is: 2,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.01 : 3,565.12 = 1,698.90 : x
  2. Step 2: Convert to fraction form
    2,583.01/3,565.12 = 1,698.90/x
  3. Step 3: Cross multiply
    2,583.01x = 3,565.12 × 1,698.90
  4. Step 4: Simplify right side
    2,583.01x = 6,056,782.37
  5. Step 5: Solve for x
    x = 6,056,782.37/2,583.01
  6. Step 6: Final answer
    x = 2,344.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.