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Finding the Fourth Proportional to 2,290.98, 3,434.32 and 829.78

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Solution

The fourth proportional to 2,290.98, 3,434.32 and 829.78 is: 1,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.98 : 3,434.32 = 829.78 : x
  2. Step 2: Convert to fraction form
    2,290.98/3,434.32 = 829.78/x
  3. Step 3: Cross multiply
    2,290.98x = 3,434.32 × 829.78
  4. Step 4: Simplify right side
    2,290.98x = 2,849,730.05
  5. Step 5: Solve for x
    x = 2,849,730.05/2,290.98
  6. Step 6: Final answer
    x = 1,243.89

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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.