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Finding the Fourth Proportional to 3,290.97, 4,938.27 and 1,830.93

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Solution

The fourth proportional to 3,290.97, 4,938.27 and 1,830.93 is: 2,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.97 : 4,938.27 = 1,830.93 : x
  2. Step 2: Convert to fraction form
    3,290.97/4,938.27 = 1,830.93/x
  3. Step 3: Cross multiply
    3,290.97x = 4,938.27 × 1,830.93
  4. Step 4: Simplify right side
    3,290.97x = 9,041,626.69
  5. Step 5: Solve for x
    x = 9,041,626.69/3,290.97
  6. Step 6: Final answer
    x = 2,747.40

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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.