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Finding the Fourth Proportional to 2,448.40, 3,672.65 and 986.55

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Solution

The fourth proportional to 2,448.40, 3,672.65 and 986.55 is: 1,479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.40 : 3,672.65 = 986.55 : x
  2. Step 2: Convert to fraction form
    2,448.40/3,672.65 = 986.55/x
  3. Step 3: Cross multiply
    2,448.40x = 3,672.65 × 986.55
  4. Step 4: Simplify right side
    2,448.40x = 3,623,252.86
  5. Step 5: Solve for x
    x = 3,623,252.86/2,448.40
  6. Step 6: Final answer
    x = 1,479.85

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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.