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Finding the Fourth Proportional to 2,557.18, 3,836.58 and 913.69

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Solution

The fourth proportional to 2,557.18, 3,836.58 and 913.69 is: 1,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.18 : 3,836.58 = 913.69 : x
  2. Step 2: Convert to fraction form
    2,557.18/3,836.58 = 913.69/x
  3. Step 3: Cross multiply
    2,557.18x = 3,836.58 × 913.69
  4. Step 4: Simplify right side
    2,557.18x = 3,505,444.78
  5. Step 5: Solve for x
    x = 3,505,444.78/2,557.18
  6. Step 6: Final answer
    x = 1,370.82

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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.