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Finding the Fourth Proportional to 1,878.47, 2,592.30 and 1,039.14

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Solution

The fourth proportional to 1,878.47, 2,592.30 and 1,039.14 is: 1,434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.47 : 2,592.30 = 1,039.14 : x
  2. Step 2: Convert to fraction form
    1,878.47/2,592.30 = 1,039.14/x
  3. Step 3: Cross multiply
    1,878.47x = 2,592.30 × 1,039.14
  4. Step 4: Simplify right side
    1,878.47x = 2,693,762.62
  5. Step 5: Solve for x
    x = 2,693,762.62/1,878.47
  6. Step 6: Final answer
    x = 1,434.02

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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.