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Finding the Fourth Proportional to 2,279.16, 3,417.54 and 892.86

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Solution

The fourth proportional to 2,279.16, 3,417.54 and 892.86 is: 1,338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.16 : 3,417.54 = 892.86 : x
  2. Step 2: Convert to fraction form
    2,279.16/3,417.54 = 892.86/x
  3. Step 3: Cross multiply
    2,279.16x = 3,417.54 × 892.86
  4. Step 4: Simplify right side
    2,279.16x = 3,051,384.76
  5. Step 5: Solve for x
    x = 3,051,384.76/2,279.16
  6. Step 6: Final answer
    x = 1,338.82

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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.