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Finding the Fourth Proportional to 2,279.17, 3,147 and 1,780.93

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Solution

The fourth proportional to 2,279.17, 3,147 and 1,780.93 is: 2,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.17 : 3,147 = 1,780.93 : x
  2. Step 2: Convert to fraction form
    2,279.17/3,147 = 1,780.93/x
  3. Step 3: Cross multiply
    2,279.17x = 3,147 × 1,780.93
  4. Step 4: Simplify right side
    2,279.17x = 5,604,586.71
  5. Step 5: Solve for x
    x = 5,604,586.71/2,279.17
  6. Step 6: Final answer
    x = 2,459.05

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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.