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Finding the Fourth Proportional to 2,531.98, 3,493.05 and 1,536.91

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Solution

The fourth proportional to 2,531.98, 3,493.05 and 1,536.91 is: 2,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.98 : 3,493.05 = 1,536.91 : x
  2. Step 2: Convert to fraction form
    2,531.98/3,493.05 = 1,536.91/x
  3. Step 3: Cross multiply
    2,531.98x = 3,493.05 × 1,536.91
  4. Step 4: Simplify right side
    2,531.98x = 5,368,503.48
  5. Step 5: Solve for x
    x = 5,368,503.48/2,531.98
  6. Step 6: Final answer
    x = 2,120.28

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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.