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Finding the Fourth Proportional to 2,962.40, 4,443.60 and 771.13

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Solution

The fourth proportional to 2,962.40, 4,443.60 and 771.13 is: 1,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.40 : 4,443.60 = 771.13 : x
  2. Step 2: Convert to fraction form
    2,962.40/4,443.60 = 771.13/x
  3. Step 3: Cross multiply
    2,962.40x = 4,443.60 × 771.13
  4. Step 4: Simplify right side
    2,962.40x = 3,426,593.27
  5. Step 5: Solve for x
    x = 3,426,593.27/2,962.40
  6. Step 6: Final answer
    x = 1,156.70

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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.