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Finding the Fourth Proportional to 2,036, 2,810.10 and 1,151.84

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Solution

The fourth proportional to 2,036, 2,810.10 and 1,151.84 is: 1,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036 : 2,810.10 = 1,151.84 : x
  2. Step 2: Convert to fraction form
    2,036/2,810.10 = 1,151.84/x
  3. Step 3: Cross multiply
    2,036x = 2,810.10 × 1,151.84
  4. Step 4: Simplify right side
    2,036x = 3,236,785.58
  5. Step 5: Solve for x
    x = 3,236,785.58/2,036
  6. Step 6: Final answer
    x = 1,589.78

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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.