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Finding the Fourth Proportional to 1,565.12, 2,347.68 and 1,470.08

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Solution

The fourth proportional to 1,565.12, 2,347.68 and 1,470.08 is: 2,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.12 : 2,347.68 = 1,470.08 : x
  2. Step 2: Convert to fraction form
    1,565.12/2,347.68 = 1,470.08/x
  3. Step 3: Cross multiply
    1,565.12x = 2,347.68 × 1,470.08
  4. Step 4: Simplify right side
    1,565.12x = 3,451,277.41
  5. Step 5: Solve for x
    x = 3,451,277.41/1,565.12
  6. Step 6: Final answer
    x = 2,205.12

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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.