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Finding the Fourth Proportional to 2,482.83, 3,724.16 and 1,020.33

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Solution

The fourth proportional to 2,482.83, 3,724.16 and 1,020.33 is: 1,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.83 : 3,724.16 = 1,020.33 : x
  2. Step 2: Convert to fraction form
    2,482.83/3,724.16 = 1,020.33/x
  3. Step 3: Cross multiply
    2,482.83x = 3,724.16 × 1,020.33
  4. Step 4: Simplify right side
    2,482.83x = 3,799,867.07
  5. Step 5: Solve for x
    x = 3,799,867.07/2,482.83
  6. Step 6: Final answer
    x = 1,530.46

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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.