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Finding the Fourth Proportional to 2,036.33, 2,809.15 and 1,438.92

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Solution

The fourth proportional to 2,036.33, 2,809.15 and 1,438.92 is: 1,985.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.33 : 2,809.15 = 1,438.92 : x
  2. Step 2: Convert to fraction form
    2,036.33/2,809.15 = 1,438.92/x
  3. Step 3: Cross multiply
    2,036.33x = 2,809.15 × 1,438.92
  4. Step 4: Simplify right side
    2,036.33x = 4,042,149.06
  5. Step 5: Solve for x
    x = 4,042,149.06/2,036.33
  6. Step 6: Final answer
    x = 1,985.02

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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.