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Finding the Fourth Proportional to 2,983.52, 4,117.75 and 1,657.65

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Solution

The fourth proportional to 2,983.52, 4,117.75 and 1,657.65 is: 2,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.52 : 4,117.75 = 1,657.65 : x
  2. Step 2: Convert to fraction form
    2,983.52/4,117.75 = 1,657.65/x
  3. Step 3: Cross multiply
    2,983.52x = 4,117.75 × 1,657.65
  4. Step 4: Simplify right side
    2,983.52x = 6,825,788.29
  5. Step 5: Solve for x
    x = 6,825,788.29/2,983.52
  6. Step 6: Final answer
    x = 2,287.83

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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.