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Finding the Fourth Proportional to 2,314.30, 3,473.07 and 1,016.14

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Solution

The fourth proportional to 2,314.30, 3,473.07 and 1,016.14 is: 1,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.30 : 3,473.07 = 1,016.14 : x
  2. Step 2: Convert to fraction form
    2,314.30/3,473.07 = 1,016.14/x
  3. Step 3: Cross multiply
    2,314.30x = 3,473.07 × 1,016.14
  4. Step 4: Simplify right side
    2,314.30x = 3,529,125.35
  5. Step 5: Solve for x
    x = 3,529,125.35/2,314.30
  6. Step 6: Final answer
    x = 1,524.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.