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Finding the Fourth Proportional to 3,132, 4,700.97 and 1,746.90

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Solution

The fourth proportional to 3,132, 4,700.97 and 1,746.90 is: 2,622.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132 : 4,700.97 = 1,746.90 : x
  2. Step 2: Convert to fraction form
    3,132/4,700.97 = 1,746.90/x
  3. Step 3: Cross multiply
    3,132x = 4,700.97 × 1,746.90
  4. Step 4: Simplify right side
    3,132x = 8,212,124.49
  5. Step 5: Solve for x
    x = 8,212,124.49/3,132
  6. Step 6: Final answer
    x = 2,622.01

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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.