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Finding the Fourth Proportional to 1,633.52, 2,253.06 and 1,036.19

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Solution

The fourth proportional to 1,633.52, 2,253.06 and 1,036.19 is: 1,429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.52 : 2,253.06 = 1,036.19 : x
  2. Step 2: Convert to fraction form
    1,633.52/2,253.06 = 1,036.19/x
  3. Step 3: Cross multiply
    1,633.52x = 2,253.06 × 1,036.19
  4. Step 4: Simplify right side
    1,633.52x = 2,334,586.98
  5. Step 5: Solve for x
    x = 2,334,586.98/1,633.52
  6. Step 6: Final answer
    x = 1,429.18

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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.