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Finding the Fourth Proportional to 1,531.21, 2,113.05 and 832.57

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Solution

The fourth proportional to 1,531.21, 2,113.05 and 832.57 is: 1,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.21 : 2,113.05 = 832.57 : x
  2. Step 2: Convert to fraction form
    1,531.21/2,113.05 = 832.57/x
  3. Step 3: Cross multiply
    1,531.21x = 2,113.05 × 832.57
  4. Step 4: Simplify right side
    1,531.21x = 1,759,262.04
  5. Step 5: Solve for x
    x = 1,759,262.04/1,531.21
  6. Step 6: Final answer
    x = 1,148.94

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Why These Related Problems?

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