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Finding the Fourth Proportional to 2,358.06, 3,538.17 and 1,204.62

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Solution

The fourth proportional to 2,358.06, 3,538.17 and 1,204.62 is: 1,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.06 : 3,538.17 = 1,204.62 : x
  2. Step 2: Convert to fraction form
    2,358.06/3,538.17 = 1,204.62/x
  3. Step 3: Cross multiply
    2,358.06x = 3,538.17 × 1,204.62
  4. Step 4: Simplify right side
    2,358.06x = 4,262,150.35
  5. Step 5: Solve for x
    x = 4,262,150.35/2,358.06
  6. Step 6: Final answer
    x = 1,807.48

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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.