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Finding the Fourth Proportional to 2,599.04, 3,899.07 and 844.49

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Solution

The fourth proportional to 2,599.04, 3,899.07 and 844.49 is: 1,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.04 : 3,899.07 = 844.49 : x
  2. Step 2: Convert to fraction form
    2,599.04/3,899.07 = 844.49/x
  3. Step 3: Cross multiply
    2,599.04x = 3,899.07 × 844.49
  4. Step 4: Simplify right side
    2,599.04x = 3,292,706.13
  5. Step 5: Solve for x
    x = 3,292,706.13/2,599.04
  6. Step 6: Final answer
    x = 1,266.90

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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.