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Finding the Fourth Proportional to 1,731.48, 2,383.58 and 1,565.16

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Solution

The fourth proportional to 1,731.48, 2,383.58 and 1,565.16 is: 2,154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.48 : 2,383.58 = 1,565.16 : x
  2. Step 2: Convert to fraction form
    1,731.48/2,383.58 = 1,565.16/x
  3. Step 3: Cross multiply
    1,731.48x = 2,383.58 × 1,565.16
  4. Step 4: Simplify right side
    1,731.48x = 3,730,684.07
  5. Step 5: Solve for x
    x = 3,730,684.07/1,731.48
  6. Step 6: Final answer
    x = 2,154.62

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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.