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Finding the Fourth Proportional to 3,061.54, 4,593.84 and 1,416.22

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Solution

The fourth proportional to 3,061.54, 4,593.84 and 1,416.22 is: 2,125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.54 : 4,593.84 = 1,416.22 : x
  2. Step 2: Convert to fraction form
    3,061.54/4,593.84 = 1,416.22/x
  3. Step 3: Cross multiply
    3,061.54x = 4,593.84 × 1,416.22
  4. Step 4: Simplify right side
    3,061.54x = 6,505,888.08
  5. Step 5: Solve for x
    x = 6,505,888.08/3,061.54
  6. Step 6: Final answer
    x = 2,125.04

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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.