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Finding the Fourth Proportional to 2,496.71, 3,742.15 and 1,878.43

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Solution

The fourth proportional to 2,496.71, 3,742.15 and 1,878.43 is: 2,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.71 : 3,742.15 = 1,878.43 : x
  2. Step 2: Convert to fraction form
    2,496.71/3,742.15 = 1,878.43/x
  3. Step 3: Cross multiply
    2,496.71x = 3,742.15 × 1,878.43
  4. Step 4: Simplify right side
    2,496.71x = 7,029,366.82
  5. Step 5: Solve for x
    x = 7,029,366.82/2,496.71
  6. Step 6: Final answer
    x = 2,815.45

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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.