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Finding the Fourth Proportional to 2,117.68, 3,177.33 and 820.06

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Solution

The fourth proportional to 2,117.68, 3,177.33 and 820.06 is: 1,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.68 : 3,177.33 = 820.06 : x
  2. Step 2: Convert to fraction form
    2,117.68/3,177.33 = 820.06/x
  3. Step 3: Cross multiply
    2,117.68x = 3,177.33 × 820.06
  4. Step 4: Simplify right side
    2,117.68x = 2,605,601.24
  5. Step 5: Solve for x
    x = 2,605,601.24/2,117.68
  6. Step 6: Final answer
    x = 1,230.40

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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.