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Finding the Fourth Proportional to 2,478.70, 3,420.58 and 1,359.58

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Solution

The fourth proportional to 2,478.70, 3,420.58 and 1,359.58 is: 1,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.70 : 3,420.58 = 1,359.58 : x
  2. Step 2: Convert to fraction form
    2,478.70/3,420.58 = 1,359.58/x
  3. Step 3: Cross multiply
    2,478.70x = 3,420.58 × 1,359.58
  4. Step 4: Simplify right side
    2,478.70x = 4,650,545.36
  5. Step 5: Solve for x
    x = 4,650,545.36/2,478.70
  6. Step 6: Final answer
    x = 1,876.21

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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.