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Finding the Fourth Proportional to 1,356.46, 1,869.24 and 962.80

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Solution

The fourth proportional to 1,356.46, 1,869.24 and 962.80 is: 1,326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.46 : 1,869.24 = 962.80 : x
  2. Step 2: Convert to fraction form
    1,356.46/1,869.24 = 962.80/x
  3. Step 3: Cross multiply
    1,356.46x = 1,869.24 × 962.80
  4. Step 4: Simplify right side
    1,356.46x = 1,799,704.27
  5. Step 5: Solve for x
    x = 1,799,704.27/1,356.46
  6. Step 6: Final answer
    x = 1,326.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.