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Finding the Fourth Proportional to 2,498.42, 3,446.26 and 1,567.46

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Solution

The fourth proportional to 2,498.42, 3,446.26 and 1,567.46 is: 2,162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.42 : 3,446.26 = 1,567.46 : x
  2. Step 2: Convert to fraction form
    2,498.42/3,446.26 = 1,567.46/x
  3. Step 3: Cross multiply
    2,498.42x = 3,446.26 × 1,567.46
  4. Step 4: Simplify right side
    2,498.42x = 5,401,853.55
  5. Step 5: Solve for x
    x = 5,401,853.55/2,498.42
  6. Step 6: Final answer
    x = 2,162.11

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