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Finding the Fourth Proportional to 2,281.50, 3,147.26 and 1,534.17

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Solution

The fourth proportional to 2,281.50, 3,147.26 and 1,534.17 is: 2,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.50 : 3,147.26 = 1,534.17 : x
  2. Step 2: Convert to fraction form
    2,281.50/3,147.26 = 1,534.17/x
  3. Step 3: Cross multiply
    2,281.50x = 3,147.26 × 1,534.17
  4. Step 4: Simplify right side
    2,281.50x = 4,828,436.01
  5. Step 5: Solve for x
    x = 4,828,436.01/2,281.50
  6. Step 6: Final answer
    x = 2,116.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.