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Finding the Fourth Proportional to 2,470.61, 3,697.20 and 2,081.00

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Solution

The fourth proportional to 2,470.61, 3,697.20 and 2,081.00 is: 3,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.61 : 3,697.20 = 2,081.00 : x
  2. Step 2: Convert to fraction form
    2,470.61/3,697.20 = 2,081.00/x
  3. Step 3: Cross multiply
    2,470.61x = 3,697.20 × 2,081.00
  4. Step 4: Simplify right side
    2,470.61x = 7,693,854.71
  5. Step 5: Solve for x
    x = 7,693,854.71/2,470.61
  6. Step 6: Final answer
    x = 3,114.16

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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.