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Finding the Fourth Proportional to 1,348.59, 2,014.60 and 1,129.89

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Solution

The fourth proportional to 1,348.59, 2,014.60 and 1,129.89 is: 1,687.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.59 : 2,014.60 = 1,129.89 : x
  2. Step 2: Convert to fraction form
    1,348.59/2,014.60 = 1,129.89/x
  3. Step 3: Cross multiply
    1,348.59x = 2,014.60 × 1,129.89
  4. Step 4: Simplify right side
    1,348.59x = 2,276,273.57
  5. Step 5: Solve for x
    x = 2,276,273.57/1,348.59
  6. Step 6: Final answer
    x = 1,687.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.