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Finding the Fourth Proportional to 2,531.76, 3,494.07 and 1,536.81

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Solution

The fourth proportional to 2,531.76, 3,494.07 and 1,536.81 is: 2,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.76 : 3,494.07 = 1,536.81 : x
  2. Step 2: Convert to fraction form
    2,531.76/3,494.07 = 1,536.81/x
  3. Step 3: Cross multiply
    2,531.76x = 3,494.07 × 1,536.81
  4. Step 4: Simplify right side
    2,531.76x = 5,369,721.72
  5. Step 5: Solve for x
    x = 5,369,721.72/2,531.76
  6. Step 6: Final answer
    x = 2,120.94

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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.