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Finding the Fourth Proportional to 2,176.75, 3,265.80 and 637.75

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Solution

The fourth proportional to 2,176.75, 3,265.80 and 637.75 is: 956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.75 : 3,265.80 = 637.75 : x
  2. Step 2: Convert to fraction form
    2,176.75/3,265.80 = 637.75/x
  3. Step 3: Cross multiply
    2,176.75x = 3,265.80 × 637.75
  4. Step 4: Simplify right side
    2,176.75x = 2,082,763.95
  5. Step 5: Solve for x
    x = 2,082,763.95/2,176.75
  6. Step 6: Final answer
    x = 956.82

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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.