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Finding the Fourth Proportional to 2,463.84, 3,701.52 and 2,129.76

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Solution

The fourth proportional to 2,463.84, 3,701.52 and 2,129.76 is: 3,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.84 : 3,701.52 = 2,129.76 : x
  2. Step 2: Convert to fraction form
    2,463.84/3,701.52 = 2,129.76/x
  3. Step 3: Cross multiply
    2,463.84x = 3,701.52 × 2,129.76
  4. Step 4: Simplify right side
    2,463.84x = 7,883,349.24
  5. Step 5: Solve for x
    x = 7,883,349.24/2,463.84
  6. Step 6: Final answer
    x = 3,199.62

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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.