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Finding the Fourth Proportional to 1,711.04, 2,361.16 and 1,012.80

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Solution

The fourth proportional to 1,711.04, 2,361.16 and 1,012.80 is: 1,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.04 : 2,361.16 = 1,012.80 : x
  2. Step 2: Convert to fraction form
    1,711.04/2,361.16 = 1,012.80/x
  3. Step 3: Cross multiply
    1,711.04x = 2,361.16 × 1,012.80
  4. Step 4: Simplify right side
    1,711.04x = 2,391,382.85
  5. Step 5: Solve for x
    x = 2,391,382.85/1,711.04
  6. Step 6: Final answer
    x = 1,397.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.