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Finding the Fourth Proportional to 2,470.08, 3,404.48 and 2,260.82

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Solution

The fourth proportional to 2,470.08, 3,404.48 and 2,260.82 is: 3,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.08 : 3,404.48 = 2,260.82 : x
  2. Step 2: Convert to fraction form
    2,470.08/3,404.48 = 2,260.82/x
  3. Step 3: Cross multiply
    2,470.08x = 3,404.48 × 2,260.82
  4. Step 4: Simplify right side
    2,470.08x = 7,696,916.47
  5. Step 5: Solve for x
    x = 7,696,916.47/2,470.08
  6. Step 6: Final answer
    x = 3,116.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.