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Finding the Fourth Proportional to 2,569.20, 3,545.52 and 1,978.68

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Solution

The fourth proportional to 2,569.20, 3,545.52 and 1,978.68 is: 2,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.20 : 3,545.52 = 1,978.68 : x
  2. Step 2: Convert to fraction form
    2,569.20/3,545.52 = 1,978.68/x
  3. Step 3: Cross multiply
    2,569.20x = 3,545.52 × 1,978.68
  4. Step 4: Simplify right side
    2,569.20x = 7,015,449.51
  5. Step 5: Solve for x
    x = 7,015,449.51/2,569.20
  6. Step 6: Final answer
    x = 2,730.60

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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.