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Finding the Fourth Proportional to 3,407.75, 4,702.55 and 1,991.46

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Solution

The fourth proportional to 3,407.75, 4,702.55 and 1,991.46 is: 2,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.75 : 4,702.55 = 1,991.46 : x
  2. Step 2: Convert to fraction form
    3,407.75/4,702.55 = 1,991.46/x
  3. Step 3: Cross multiply
    3,407.75x = 4,702.55 × 1,991.46
  4. Step 4: Simplify right side
    3,407.75x = 9,364,930.27
  5. Step 5: Solve for x
    x = 9,364,930.27/3,407.75
  6. Step 6: Final answer
    x = 2,748.13

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1.5x scale

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.