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Finding the Fourth Proportional to 2,257.86, 3,115.71 and 1,313.58

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Solution

The fourth proportional to 2,257.86, 3,115.71 and 1,313.58 is: 1,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.86 : 3,115.71 = 1,313.58 : x
  2. Step 2: Convert to fraction form
    2,257.86/3,115.71 = 1,313.58/x
  3. Step 3: Cross multiply
    2,257.86x = 3,115.71 × 1,313.58
  4. Step 4: Simplify right side
    2,257.86x = 4,092,734.34
  5. Step 5: Solve for x
    x = 4,092,734.34/2,257.86
  6. Step 6: Final answer
    x = 1,812.66

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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.