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Finding the Fourth Proportional to 1,565.44, 2,346.79 and 592.23

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Solution

The fourth proportional to 1,565.44, 2,346.79 and 592.23 is: 887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.44 : 2,346.79 = 592.23 : x
  2. Step 2: Convert to fraction form
    1,565.44/2,346.79 = 592.23/x
  3. Step 3: Cross multiply
    1,565.44x = 2,346.79 × 592.23
  4. Step 4: Simplify right side
    1,565.44x = 1,389,839.44
  5. Step 5: Solve for x
    x = 1,389,839.44/1,565.44
  6. Step 6: Final answer
    x = 887.83

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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.