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Finding the Fourth Proportional to 4,660.80, 6,982.08 and 2,472

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Solution

The fourth proportional to 4,660.80, 6,982.08 and 2,472 is: 3,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.80 : 6,982.08 = 2,472 : x
  2. Step 2: Convert to fraction form
    4,660.80/6,982.08 = 2,472/x
  3. Step 3: Cross multiply
    4,660.80x = 6,982.08 × 2,472
  4. Step 4: Simplify right side
    4,660.80x = 17,259,701.76
  5. Step 5: Solve for x
    x = 17,259,701.76/4,660.80
  6. Step 6: Final answer
    x = 3,703.16

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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.