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Finding the Fourth Proportional to 1,531.23, 2,298.66 and 915.22

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Solution

The fourth proportional to 1,531.23, 2,298.66 and 915.22 is: 1,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.23 : 2,298.66 = 915.22 : x
  2. Step 2: Convert to fraction form
    1,531.23/2,298.66 = 915.22/x
  3. Step 3: Cross multiply
    1,531.23x = 2,298.66 × 915.22
  4. Step 4: Simplify right side
    1,531.23x = 2,103,779.61
  5. Step 5: Solve for x
    x = 2,103,779.61/1,531.23
  6. Step 6: Final answer
    x = 1,373.91

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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.