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Finding the Fourth Proportional to 2,036.98, 2,811.17 and 1,140.80

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Solution

The fourth proportional to 2,036.98, 2,811.17 and 1,140.80 is: 1,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.98 : 2,811.17 = 1,140.80 : x
  2. Step 2: Convert to fraction form
    2,036.98/2,811.17 = 1,140.80/x
  3. Step 3: Cross multiply
    2,036.98x = 2,811.17 × 1,140.80
  4. Step 4: Simplify right side
    2,036.98x = 3,206,982.74
  5. Step 5: Solve for x
    x = 3,206,982.74/2,036.98
  6. Step 6: Final answer
    x = 1,574.38

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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.