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Finding the Fourth Proportional to 2,531.88, 3,494.00 and 1,412.82

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Solution

The fourth proportional to 2,531.88, 3,494.00 and 1,412.82 is: 1,949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.88 : 3,494.00 = 1,412.82 : x
  2. Step 2: Convert to fraction form
    2,531.88/3,494.00 = 1,412.82/x
  3. Step 3: Cross multiply
    2,531.88x = 3,494.00 × 1,412.82
  4. Step 4: Simplify right side
    2,531.88x = 4,936,386.02
  5. Step 5: Solve for x
    x = 4,936,386.02/2,531.88
  6. Step 6: Final answer
    x = 1,949.69

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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.