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Finding the Fourth Proportional to 2,442.74, 3,658.44 and 1,206.30

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Solution

The fourth proportional to 2,442.74, 3,658.44 and 1,206.30 is: 1,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.74 : 3,658.44 = 1,206.30 : x
  2. Step 2: Convert to fraction form
    2,442.74/3,658.44 = 1,206.30/x
  3. Step 3: Cross multiply
    2,442.74x = 3,658.44 × 1,206.30
  4. Step 4: Simplify right side
    2,442.74x = 4,413,176.17
  5. Step 5: Solve for x
    x = 4,413,176.17/2,442.74
  6. Step 6: Final answer
    x = 1,806.65

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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.