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Finding the Fourth Proportional to 4,724.92, 7,087.50 and 1,604.80

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Solution

The fourth proportional to 4,724.92, 7,087.50 and 1,604.80 is: 2,407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.92 : 7,087.50 = 1,604.80 : x
  2. Step 2: Convert to fraction form
    4,724.92/7,087.50 = 1,604.80/x
  3. Step 3: Cross multiply
    4,724.92x = 7,087.50 × 1,604.80
  4. Step 4: Simplify right side
    4,724.92x = 11,374,020
  5. Step 5: Solve for x
    x = 11,374,020/4,724.92
  6. Step 6: Final answer
    x = 2,407.24

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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.