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Finding the Fourth Proportional to 2,476.71, 3,417.50 and 1,481.76

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Solution

The fourth proportional to 2,476.71, 3,417.50 and 1,481.76 is: 2,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.71 : 3,417.50 = 1,481.76 : x
  2. Step 2: Convert to fraction form
    2,476.71/3,417.50 = 1,481.76/x
  3. Step 3: Cross multiply
    2,476.71x = 3,417.50 × 1,481.76
  4. Step 4: Simplify right side
    2,476.71x = 5,063,918.50
  5. Step 5: Solve for x
    x = 5,063,918.50/2,476.71
  6. Step 6: Final answer
    x = 2,044.62

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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.