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Finding the Fourth Proportional to 2,482.84, 3,724.53 and 1,023.22

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Solution

The fourth proportional to 2,482.84, 3,724.53 and 1,023.22 is: 1,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.84 : 3,724.53 = 1,023.22 : x
  2. Step 2: Convert to fraction form
    2,482.84/3,724.53 = 1,023.22/x
  3. Step 3: Cross multiply
    2,482.84x = 3,724.53 × 1,023.22
  4. Step 4: Simplify right side
    2,482.84x = 3,811,013.59
  5. Step 5: Solve for x
    x = 3,811,013.59/2,482.84
  6. Step 6: Final answer
    x = 1,534.94

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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.