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Finding the Fourth Proportional to 1,633.70, 2,253.84 and 1,036.14

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Solution

The fourth proportional to 1,633.70, 2,253.84 and 1,036.14 is: 1,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.70 : 2,253.84 = 1,036.14 : x
  2. Step 2: Convert to fraction form
    1,633.70/2,253.84 = 1,036.14/x
  3. Step 3: Cross multiply
    1,633.70x = 2,253.84 × 1,036.14
  4. Step 4: Simplify right side
    1,633.70x = 2,335,293.78
  5. Step 5: Solve for x
    x = 2,335,293.78/1,633.70
  6. Step 6: Final answer
    x = 1,429.45

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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.