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Finding the Fourth Proportional to 6,061.40, 9,092.10 and 1,678.86

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Solution

The fourth proportional to 6,061.40, 9,092.10 and 1,678.86 is: 2,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.40 : 9,092.10 = 1,678.86 : x
  2. Step 2: Convert to fraction form
    6,061.40/9,092.10 = 1,678.86/x
  3. Step 3: Cross multiply
    6,061.40x = 9,092.10 × 1,678.86
  4. Step 4: Simplify right side
    6,061.40x = 15,264,363.01
  5. Step 5: Solve for x
    x = 15,264,363.01/6,061.40
  6. Step 6: Final answer
    x = 2,518.29

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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.