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Finding the Fourth Proportional to 3,506.67, 5,260.70 and 1,948.90

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Solution

The fourth proportional to 3,506.67, 5,260.70 and 1,948.90 is: 2,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.67 : 5,260.70 = 1,948.90 : x
  2. Step 2: Convert to fraction form
    3,506.67/5,260.70 = 1,948.90/x
  3. Step 3: Cross multiply
    3,506.67x = 5,260.70 × 1,948.90
  4. Step 4: Simplify right side
    3,506.67x = 10,252,578.23
  5. Step 5: Solve for x
    x = 10,252,578.23/3,506.67
  6. Step 6: Final answer
    x = 2,923.74

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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.