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Finding the Fourth Proportional to 1,878.74, 2,592.55 and 1,039.41

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Solution

The fourth proportional to 1,878.74, 2,592.55 and 1,039.41 is: 1,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.74 : 2,592.55 = 1,039.41 : x
  2. Step 2: Convert to fraction form
    1,878.74/2,592.55 = 1,039.41/x
  3. Step 3: Cross multiply
    1,878.74x = 2,592.55 × 1,039.41
  4. Step 4: Simplify right side
    1,878.74x = 2,694,723.69
  5. Step 5: Solve for x
    x = 2,694,723.69/1,878.74
  6. Step 6: Final answer
    x = 1,434.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.