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Finding the Fourth Proportional to 2,767.40, 4,148.51 and 1,012.00

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Solution

The fourth proportional to 2,767.40, 4,148.51 and 1,012.00 is: 1,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.40 : 4,148.51 = 1,012.00 : x
  2. Step 2: Convert to fraction form
    2,767.40/4,148.51 = 1,012.00/x
  3. Step 3: Cross multiply
    2,767.40x = 4,148.51 × 1,012.00
  4. Step 4: Simplify right side
    2,767.40x = 4,198,276.69
  5. Step 5: Solve for x
    x = 4,198,276.69/2,767.40
  6. Step 6: Final answer
    x = 1,517.05

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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.