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Finding the Fourth Proportional to 1,565.72, 2,351.27 and 1,390.42

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Solution

The fourth proportional to 1,565.72, 2,351.27 and 1,390.42 is: 2,088.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.72 : 2,351.27 = 1,390.42 : x
  2. Step 2: Convert to fraction form
    1,565.72/2,351.27 = 1,390.42/x
  3. Step 3: Cross multiply
    1,565.72x = 2,351.27 × 1,390.42
  4. Step 4: Simplify right side
    1,565.72x = 3,269,252.83
  5. Step 5: Solve for x
    x = 3,269,252.83/1,565.72
  6. Step 6: Final answer
    x = 2,088.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.