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Finding the Fourth Proportional to 2,031.78, 3,047.40 and 862.25

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Solution

The fourth proportional to 2,031.78, 3,047.40 and 862.25 is: 1,293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.78 : 3,047.40 = 862.25 : x
  2. Step 2: Convert to fraction form
    2,031.78/3,047.40 = 862.25/x
  3. Step 3: Cross multiply
    2,031.78x = 3,047.40 × 862.25
  4. Step 4: Simplify right side
    2,031.78x = 2,627,616.34
  5. Step 5: Solve for x
    x = 2,627,616.34/2,031.78
  6. Step 6: Final answer
    x = 1,293.26

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