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Finding the Fourth Proportional to 1,565.43, 2,157.81 and 1,233.42

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Solution

The fourth proportional to 1,565.43, 2,157.81 and 1,233.42 is: 1,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.43 : 2,157.81 = 1,233.42 : x
  2. Step 2: Convert to fraction form
    1,565.43/2,157.81 = 1,233.42/x
  3. Step 3: Cross multiply
    1,565.43x = 2,157.81 × 1,233.42
  4. Step 4: Simplify right side
    1,565.43x = 2,661,486.01
  5. Step 5: Solve for x
    x = 2,661,486.01/1,565.43
  6. Step 6: Final answer
    x = 1,700.16

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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.