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Finding the Fourth Proportional to 2,087.92, 3,130.04 and 788.72

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Solution

The fourth proportional to 2,087.92, 3,130.04 and 788.72 is: 1,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.92 : 3,130.04 = 788.72 : x
  2. Step 2: Convert to fraction form
    2,087.92/3,130.04 = 788.72/x
  3. Step 3: Cross multiply
    2,087.92x = 3,130.04 × 788.72
  4. Step 4: Simplify right side
    2,087.92x = 2,468,725.15
  5. Step 5: Solve for x
    x = 2,468,725.15/2,087.92
  6. Step 6: Final answer
    x = 1,182.38

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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.