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Finding the Fourth Proportional to 1,381.55, 2,068.22 and 917.73

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Solution

The fourth proportional to 1,381.55, 2,068.22 and 917.73 is: 1,373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.55 : 2,068.22 = 917.73 : x
  2. Step 2: Convert to fraction form
    1,381.55/2,068.22 = 917.73/x
  3. Step 3: Cross multiply
    1,381.55x = 2,068.22 × 917.73
  4. Step 4: Simplify right side
    1,381.55x = 1,898,062.95
  5. Step 5: Solve for x
    x = 1,898,062.95/1,381.55
  6. Step 6: Final answer
    x = 1,373.87

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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.