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Finding the Fourth Proportional to 4,092.70, 6,140.18 and 1,460.80

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Solution

The fourth proportional to 4,092.70, 6,140.18 and 1,460.80 is: 2,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.70 : 6,140.18 = 1,460.80 : x
  2. Step 2: Convert to fraction form
    4,092.70/6,140.18 = 1,460.80/x
  3. Step 3: Cross multiply
    4,092.70x = 6,140.18 × 1,460.80
  4. Step 4: Simplify right side
    4,092.70x = 8,969,574.94
  5. Step 5: Solve for x
    x = 8,969,574.94/4,092.70
  6. Step 6: Final answer
    x = 2,191.60

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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.