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Finding the Fourth Proportional to 1,565.67, 2,160.28 and 936.10

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Solution

The fourth proportional to 1,565.67, 2,160.28 and 936.10 is: 1,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.67 : 2,160.28 = 936.10 : x
  2. Step 2: Convert to fraction form
    1,565.67/2,160.28 = 936.10/x
  3. Step 3: Cross multiply
    1,565.67x = 2,160.28 × 936.10
  4. Step 4: Simplify right side
    1,565.67x = 2,022,224.56
  5. Step 5: Solve for x
    x = 2,022,224.56/1,565.67
  6. Step 6: Final answer
    x = 1,291.60

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