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Finding the Fourth Proportional to 2,483.33, 3,727.72 and 1,966.65

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Solution

The fourth proportional to 2,483.33, 3,727.72 and 1,966.65 is: 2,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.33 : 3,727.72 = 1,966.65 : x
  2. Step 2: Convert to fraction form
    2,483.33/3,727.72 = 1,966.65/x
  3. Step 3: Cross multiply
    2,483.33x = 3,727.72 × 1,966.65
  4. Step 4: Simplify right side
    2,483.33x = 7,331,109.02
  5. Step 5: Solve for x
    x = 7,331,109.02/2,483.33
  6. Step 6: Final answer
    x = 2,952.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.