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Finding the Fourth Proportional to 1,515.15, 2,271.56 and 784.26

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Solution

The fourth proportional to 1,515.15, 2,271.56 and 784.26 is: 1,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.15 : 2,271.56 = 784.26 : x
  2. Step 2: Convert to fraction form
    1,515.15/2,271.56 = 784.26/x
  3. Step 3: Cross multiply
    1,515.15x = 2,271.56 × 784.26
  4. Step 4: Simplify right side
    1,515.15x = 1,781,489.72
  5. Step 5: Solve for x
    x = 1,781,489.72/1,515.15
  6. Step 6: Final answer
    x = 1,175.78

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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.