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Finding the Fourth Proportional to 2,504.92, 3,459.87 and 1,878.25

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Solution

The fourth proportional to 2,504.92, 3,459.87 and 1,878.25 is: 2,594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.92 : 3,459.87 = 1,878.25 : x
  2. Step 2: Convert to fraction form
    2,504.92/3,459.87 = 1,878.25/x
  3. Step 3: Cross multiply
    2,504.92x = 3,459.87 × 1,878.25
  4. Step 4: Simplify right side
    2,504.92x = 6,498,500.83
  5. Step 5: Solve for x
    x = 6,498,500.83/2,504.92
  6. Step 6: Final answer
    x = 2,594.29

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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.