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Finding the Fourth Proportional to 2,881.67, 4,323.14 and 1,034.12

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Solution

The fourth proportional to 2,881.67, 4,323.14 and 1,034.12 is: 1,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.67 : 4,323.14 = 1,034.12 : x
  2. Step 2: Convert to fraction form
    2,881.67/4,323.14 = 1,034.12/x
  3. Step 3: Cross multiply
    2,881.67x = 4,323.14 × 1,034.12
  4. Step 4: Simplify right side
    2,881.67x = 4,470,618.75
  5. Step 5: Solve for x
    x = 4,470,618.75/2,881.67
  6. Step 6: Final answer
    x = 1,551.40

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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.