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Finding the Fourth Proportional to 1,515.67, 2,272.95 and 591.13

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Solution

The fourth proportional to 1,515.67, 2,272.95 and 591.13 is: 886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.67 : 2,272.95 = 591.13 : x
  2. Step 2: Convert to fraction form
    1,515.67/2,272.95 = 591.13/x
  3. Step 3: Cross multiply
    1,515.67x = 2,272.95 × 591.13
  4. Step 4: Simplify right side
    1,515.67x = 1,343,608.93
  5. Step 5: Solve for x
    x = 1,343,608.93/1,515.67
  6. Step 6: Final answer
    x = 886.48

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