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Finding the Fourth Proportional to 2,599.40, 3,899.10 and 955.23

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Solution

The fourth proportional to 2,599.40, 3,899.10 and 955.23 is: 1,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.40 : 3,899.10 = 955.23 : x
  2. Step 2: Convert to fraction form
    2,599.40/3,899.10 = 955.23/x
  3. Step 3: Cross multiply
    2,599.40x = 3,899.10 × 955.23
  4. Step 4: Simplify right side
    2,599.40x = 3,724,537.29
  5. Step 5: Solve for x
    x = 3,724,537.29/2,599.40
  6. Step 6: Final answer
    x = 1,432.85

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Similar ratio
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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.