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Finding the Fourth Proportional to 2,599.77, 3,899.23 and 868.39

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Solution

The fourth proportional to 2,599.77, 3,899.23 and 868.39 is: 1,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.77 : 3,899.23 = 868.39 : x
  2. Step 2: Convert to fraction form
    2,599.77/3,899.23 = 868.39/x
  3. Step 3: Cross multiply
    2,599.77x = 3,899.23 × 868.39
  4. Step 4: Simplify right side
    2,599.77x = 3,386,052.34
  5. Step 5: Solve for x
    x = 3,386,052.34/2,599.77
  6. Step 6: Final answer
    x = 1,302.44

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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.