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Finding the Fourth Proportional to 2,337.12, 3,506.24 and 798.08

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Solution

The fourth proportional to 2,337.12, 3,506.24 and 798.08 is: 1,197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.12 : 3,506.24 = 798.08 : x
  2. Step 2: Convert to fraction form
    2,337.12/3,506.24 = 798.08/x
  3. Step 3: Cross multiply
    2,337.12x = 3,506.24 × 798.08
  4. Step 4: Simplify right side
    2,337.12x = 2,798,260.02
  5. Step 5: Solve for x
    x = 2,798,260.02/2,337.12
  6. Step 6: Final answer
    x = 1,197.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.