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Finding the Fourth Proportional to 2,306.49, 3,458.54 and 825.15

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Solution

The fourth proportional to 2,306.49, 3,458.54 and 825.15 is: 1,237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.49 : 3,458.54 = 825.15 : x
  2. Step 2: Convert to fraction form
    2,306.49/3,458.54 = 825.15/x
  3. Step 3: Cross multiply
    2,306.49x = 3,458.54 × 825.15
  4. Step 4: Simplify right side
    2,306.49x = 2,853,810.16
  5. Step 5: Solve for x
    x = 2,853,810.16/2,306.49
  6. Step 6: Final answer
    x = 1,237.30

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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.