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Finding the Fourth Proportional to 3,182.79, 4,774.17 and 1,731.17

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Solution

The fourth proportional to 3,182.79, 4,774.17 and 1,731.17 is: 2,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.79 : 4,774.17 = 1,731.17 : x
  2. Step 2: Convert to fraction form
    3,182.79/4,774.17 = 1,731.17/x
  3. Step 3: Cross multiply
    3,182.79x = 4,774.17 × 1,731.17
  4. Step 4: Simplify right side
    3,182.79x = 8,264,918.31
  5. Step 5: Solve for x
    x = 8,264,918.31/3,182.79
  6. Step 6: Final answer
    x = 2,596.75

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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.