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Finding the Fourth Proportional to 2,036.80, 2,810.74 and 1,140.49

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Solution

The fourth proportional to 2,036.80, 2,810.74 and 1,140.49 is: 1,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.80 : 2,810.74 = 1,140.49 : x
  2. Step 2: Convert to fraction form
    2,036.80/2,810.74 = 1,140.49/x
  3. Step 3: Cross multiply
    2,036.80x = 2,810.74 × 1,140.49
  4. Step 4: Simplify right side
    2,036.80x = 3,205,620.86
  5. Step 5: Solve for x
    x = 3,205,620.86/2,036.80
  6. Step 6: Final answer
    x = 1,573.85

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