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Finding the Fourth Proportional to 2,911, 4,017.14 and 1,732.04

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Solution

The fourth proportional to 2,911, 4,017.14 and 1,732.04 is: 2,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911 : 4,017.14 = 1,732.04 : x
  2. Step 2: Convert to fraction form
    2,911/4,017.14 = 1,732.04/x
  3. Step 3: Cross multiply
    2,911x = 4,017.14 × 1,732.04
  4. Step 4: Simplify right side
    2,911x = 6,957,847.17
  5. Step 5: Solve for x
    x = 6,957,847.17/2,911
  6. Step 6: Final answer
    x = 2,390.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.