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Finding the Fourth Proportional to 2,337.25, 3,506.48 and 798.25

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Solution

The fourth proportional to 2,337.25, 3,506.48 and 798.25 is: 1,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.25 : 3,506.48 = 798.25 : x
  2. Step 2: Convert to fraction form
    2,337.25/3,506.48 = 798.25/x
  3. Step 3: Cross multiply
    2,337.25x = 3,506.48 × 798.25
  4. Step 4: Simplify right side
    2,337.25x = 2,799,047.66
  5. Step 5: Solve for x
    x = 2,799,047.66/2,337.25
  6. Step 6: Final answer
    x = 1,197.58

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1.5x scale

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.