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Finding the Fourth Proportional to 1,515.62, 2,274.18 and 541.79

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Solution

The fourth proportional to 1,515.62, 2,274.18 and 541.79 is: 812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.62 : 2,274.18 = 541.79 : x
  2. Step 2: Convert to fraction form
    1,515.62/2,274.18 = 541.79/x
  3. Step 3: Cross multiply
    1,515.62x = 2,274.18 × 541.79
  4. Step 4: Simplify right side
    1,515.62x = 1,232,127.98
  5. Step 5: Solve for x
    x = 1,232,127.98/1,515.62
  6. Step 6: Final answer
    x = 812.95

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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.