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Finding the Fourth Proportional to 2,117.88, 3,176.82 and 657.18

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Solution

The fourth proportional to 2,117.88, 3,176.82 and 657.18 is: 985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.88 : 3,176.82 = 657.18 : x
  2. Step 2: Convert to fraction form
    2,117.88/3,176.82 = 657.18/x
  3. Step 3: Cross multiply
    2,117.88x = 3,176.82 × 657.18
  4. Step 4: Simplify right side
    2,117.88x = 2,087,742.57
  5. Step 5: Solve for x
    x = 2,087,742.57/2,117.88
  6. Step 6: Final answer
    x = 985.77

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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.