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Finding the Fourth Proportional to 1,565.36, 2,346.42 and 591.04

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Solution

The fourth proportional to 1,565.36, 2,346.42 and 591.04 is: 885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.36 : 2,346.42 = 591.04 : x
  2. Step 2: Convert to fraction form
    1,565.36/2,346.42 = 591.04/x
  3. Step 3: Cross multiply
    1,565.36x = 2,346.42 × 591.04
  4. Step 4: Simplify right side
    1,565.36x = 1,386,828.08
  5. Step 5: Solve for x
    x = 1,386,828.08/1,565.36
  6. Step 6: Final answer
    x = 885.95

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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.