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Finding the Fourth Proportional to 2,358.92, 3,537.01 and 798.40

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Solution

The fourth proportional to 2,358.92, 3,537.01 and 798.40 is: 1,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.92 : 3,537.01 = 798.40 : x
  2. Step 2: Convert to fraction form
    2,358.92/3,537.01 = 798.40/x
  3. Step 3: Cross multiply
    2,358.92x = 3,537.01 × 798.40
  4. Step 4: Simplify right side
    2,358.92x = 2,823,954.20
  5. Step 5: Solve for x
    x = 2,823,954.20/2,358.92
  6. Step 6: Final answer
    x = 1,197.14

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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.