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Finding the Fourth Proportional to 2,559.15, 3,838.17 and 915.81

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Solution

The fourth proportional to 2,559.15, 3,838.17 and 915.81 is: 1,373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.15 : 3,838.17 = 915.81 : x
  2. Step 2: Convert to fraction form
    2,559.15/3,838.17 = 915.81/x
  3. Step 3: Cross multiply
    2,559.15x = 3,838.17 × 915.81
  4. Step 4: Simplify right side
    2,559.15x = 3,515,034.47
  5. Step 5: Solve for x
    x = 3,515,034.47/2,559.15
  6. Step 6: Final answer
    x = 1,373.52

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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.