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Finding the Fourth Proportional to 1,348.14, 1,861.84 and 929.58

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Solution

The fourth proportional to 1,348.14, 1,861.84 and 929.58 is: 1,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.14 : 1,861.84 = 929.58 : x
  2. Step 2: Convert to fraction form
    1,348.14/1,861.84 = 929.58/x
  3. Step 3: Cross multiply
    1,348.14x = 1,861.84 × 929.58
  4. Step 4: Simplify right side
    1,348.14x = 1,730,729.23
  5. Step 5: Solve for x
    x = 1,730,729.23/1,348.14
  6. Step 6: Final answer
    x = 1,283.79

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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.