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Finding the Fourth Proportional to 1,565.81, 2,162.43 and 1,354.98

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Solution

The fourth proportional to 1,565.81, 2,162.43 and 1,354.98 is: 1,871.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.81 : 2,162.43 = 1,354.98 : x
  2. Step 2: Convert to fraction form
    1,565.81/2,162.43 = 1,354.98/x
  3. Step 3: Cross multiply
    1,565.81x = 2,162.43 × 1,354.98
  4. Step 4: Simplify right side
    1,565.81x = 2,930,049.40
  5. Step 5: Solve for x
    x = 2,930,049.40/1,565.81
  6. Step 6: Final answer
    x = 1,871.27

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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.