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Finding the Fourth Proportional to 1,531.44, 2,297.86 and 654.18

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Solution

The fourth proportional to 1,531.44, 2,297.86 and 654.18 is: 981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.44 : 2,297.86 = 654.18 : x
  2. Step 2: Convert to fraction form
    1,531.44/2,297.86 = 654.18/x
  3. Step 3: Cross multiply
    1,531.44x = 2,297.86 × 654.18
  4. Step 4: Simplify right side
    1,531.44x = 1,503,214.05
  5. Step 5: Solve for x
    x = 1,503,214.05/1,531.44
  6. Step 6: Final answer
    x = 981.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.