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Finding the Fourth Proportional to 2,463.84, 3,686.40 and 2,099.52

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Solution

The fourth proportional to 2,463.84, 3,686.40 and 2,099.52 is: 3,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.84 : 3,686.40 = 2,099.52 : x
  2. Step 2: Convert to fraction form
    2,463.84/3,686.40 = 2,099.52/x
  3. Step 3: Cross multiply
    2,463.84x = 3,686.40 × 2,099.52
  4. Step 4: Simplify right side
    2,463.84x = 7,739,670.53
  5. Step 5: Solve for x
    x = 7,739,670.53/2,463.84
  6. Step 6: Final answer
    x = 3,141.30

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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.