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Finding the Fourth Proportional to 2,730.71, 4,098.15 and 1,415.54

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Solution

The fourth proportional to 2,730.71, 4,098.15 and 1,415.54 is: 2,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.71 : 4,098.15 = 1,415.54 : x
  2. Step 2: Convert to fraction form
    2,730.71/4,098.15 = 1,415.54/x
  3. Step 3: Cross multiply
    2,730.71x = 4,098.15 × 1,415.54
  4. Step 4: Simplify right side
    2,730.71x = 5,801,074.76
  5. Step 5: Solve for x
    x = 5,801,074.76/2,730.71
  6. Step 6: Final answer
    x = 2,124.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.