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Finding the Fourth Proportional to 2,287.52, 3,430.94 and 881.57

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Solution

The fourth proportional to 2,287.52, 3,430.94 and 881.57 is: 1,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.52 : 3,430.94 = 881.57 : x
  2. Step 2: Convert to fraction form
    2,287.52/3,430.94 = 881.57/x
  3. Step 3: Cross multiply
    2,287.52x = 3,430.94 × 881.57
  4. Step 4: Simplify right side
    2,287.52x = 3,024,617.95
  5. Step 5: Solve for x
    x = 3,024,617.95/2,287.52
  6. Step 6: Final answer
    x = 1,322.23

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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.