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Finding the Fourth Proportional to 2,935.71, 4,400.69 and 1,878.29

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Solution

The fourth proportional to 2,935.71, 4,400.69 and 1,878.29 is: 2,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.71 : 4,400.69 = 1,878.29 : x
  2. Step 2: Convert to fraction form
    2,935.71/4,400.69 = 1,878.29/x
  3. Step 3: Cross multiply
    2,935.71x = 4,400.69 × 1,878.29
  4. Step 4: Simplify right side
    2,935.71x = 8,265,772.02
  5. Step 5: Solve for x
    x = 8,265,772.02/2,935.71
  6. Step 6: Final answer
    x = 2,815.60

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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.