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Finding the Fourth Proportional to 2,496.90, 3,746.16 and 2,129.48

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Solution

The fourth proportional to 2,496.90, 3,746.16 and 2,129.48 is: 3,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.90 : 3,746.16 = 2,129.48 : x
  2. Step 2: Convert to fraction form
    2,496.90/3,746.16 = 2,129.48/x
  3. Step 3: Cross multiply
    2,496.90x = 3,746.16 × 2,129.48
  4. Step 4: Simplify right side
    2,496.90x = 7,977,372.80
  5. Step 5: Solve for x
    x = 7,977,372.80/2,496.90
  6. Step 6: Final answer
    x = 3,194.91

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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.