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Finding the Fourth Proportional to 2,442.39, 3,666.33 and 982.56

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Solution

The fourth proportional to 2,442.39, 3,666.33 and 982.56 is: 1,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.39 : 3,666.33 = 982.56 : x
  2. Step 2: Convert to fraction form
    2,442.39/3,666.33 = 982.56/x
  3. Step 3: Cross multiply
    2,442.39x = 3,666.33 × 982.56
  4. Step 4: Simplify right side
    2,442.39x = 3,602,402.95
  5. Step 5: Solve for x
    x = 3,602,402.95/2,442.39
  6. Step 6: Final answer
    x = 1,474.95

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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.