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Finding the Fourth Proportional to 2,117.12, 3,167.76 and 2,006

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Solution

The fourth proportional to 2,117.12, 3,167.76 and 2,006 is: 3,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.12 : 3,167.76 = 2,006 : x
  2. Step 2: Convert to fraction form
    2,117.12/3,167.76 = 2,006/x
  3. Step 3: Cross multiply
    2,117.12x = 3,167.76 × 2,006
  4. Step 4: Simplify right side
    2,117.12x = 6,354,526.56
  5. Step 5: Solve for x
    x = 6,354,526.56/2,117.12
  6. Step 6: Final answer
    x = 3,001.50

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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.