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Finding the Fourth Proportional to 1,565.76, 2,349.36 and 1,158.33

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Solution

The fourth proportional to 1,565.76, 2,349.36 and 1,158.33 is: 1,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.76 : 2,349.36 = 1,158.33 : x
  2. Step 2: Convert to fraction form
    1,565.76/2,349.36 = 1,158.33/x
  3. Step 3: Cross multiply
    1,565.76x = 2,349.36 × 1,158.33
  4. Step 4: Simplify right side
    1,565.76x = 2,721,334.17
  5. Step 5: Solve for x
    x = 2,721,334.17/1,565.76
  6. Step 6: Final answer
    x = 1,738.03

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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.