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Finding the Fourth Proportional to 2,565.35, 3,848.02 and 617.55

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Solution

The fourth proportional to 2,565.35, 3,848.02 and 617.55 is: 926.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.35 : 3,848.02 = 617.55 : x
  2. Step 2: Convert to fraction form
    2,565.35/3,848.02 = 617.55/x
  3. Step 3: Cross multiply
    2,565.35x = 3,848.02 × 617.55
  4. Step 4: Simplify right side
    2,565.35x = 2,376,343.21
  5. Step 5: Solve for x
    x = 2,376,343.21/2,565.35
  6. Step 6: Final answer
    x = 926.33

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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.