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Finding the Fourth Proportional to 2,506.22, 3,758.36 and 862.46

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Solution

The fourth proportional to 2,506.22, 3,758.36 and 862.46 is: 1,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.22 : 3,758.36 = 862.46 : x
  2. Step 2: Convert to fraction form
    2,506.22/3,758.36 = 862.46/x
  3. Step 3: Cross multiply
    2,506.22x = 3,758.36 × 862.46
  4. Step 4: Simplify right side
    2,506.22x = 3,241,435.17
  5. Step 5: Solve for x
    x = 3,241,435.17/2,506.22
  6. Step 6: Final answer
    x = 1,293.36

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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.