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Finding the Fourth Proportional to 2,730.71, 4,088.78 and 1,429.45

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Solution

The fourth proportional to 2,730.71, 4,088.78 and 1,429.45 is: 2,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.71 : 4,088.78 = 1,429.45 : x
  2. Step 2: Convert to fraction form
    2,730.71/4,088.78 = 1,429.45/x
  3. Step 3: Cross multiply
    2,730.71x = 4,088.78 × 1,429.45
  4. Step 4: Simplify right side
    2,730.71x = 5,844,694.56
  5. Step 5: Solve for x
    x = 5,844,694.56/2,730.71
  6. Step 6: Final answer
    x = 2,140.36

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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.