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Finding the Fourth Proportional to 2,478.60, 3,420.51 and 1,359.47

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Solution

The fourth proportional to 2,478.60, 3,420.51 and 1,359.47 is: 1,876.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.60 : 3,420.51 = 1,359.47 : x
  2. Step 2: Convert to fraction form
    2,478.60/3,420.51 = 1,359.47/x
  3. Step 3: Cross multiply
    2,478.60x = 3,420.51 × 1,359.47
  4. Step 4: Simplify right side
    2,478.60x = 4,650,080.73
  5. Step 5: Solve for x
    x = 4,650,080.73/2,478.60
  6. Step 6: Final answer
    x = 1,876.09

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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.