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Finding the Fourth Proportional to 2,117.62, 3,176.19 and 557.75

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Solution

The fourth proportional to 2,117.62, 3,176.19 and 557.75 is: 836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.62 : 3,176.19 = 557.75 : x
  2. Step 2: Convert to fraction form
    2,117.62/3,176.19 = 557.75/x
  3. Step 3: Cross multiply
    2,117.62x = 3,176.19 × 557.75
  4. Step 4: Simplify right side
    2,117.62x = 1,771,512.94
  5. Step 5: Solve for x
    x = 1,771,512.94/2,117.62
  6. Step 6: Final answer
    x = 836.56

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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.