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Finding the Fourth Proportional to 2,851.61, 4,274.28 and 1,463.00

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Solution

The fourth proportional to 2,851.61, 4,274.28 and 1,463.00 is: 2,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.61 : 4,274.28 = 1,463.00 : x
  2. Step 2: Convert to fraction form
    2,851.61/4,274.28 = 1,463.00/x
  3. Step 3: Cross multiply
    2,851.61x = 4,274.28 × 1,463.00
  4. Step 4: Simplify right side
    2,851.61x = 6,253,250.27
  5. Step 5: Solve for x
    x = 6,253,250.27/2,851.61
  6. Step 6: Final answer
    x = 2,192.89

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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.