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Finding the Fourth Proportional to 2,600.81, 3,902.23 and 957.52

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Solution

The fourth proportional to 2,600.81, 3,902.23 and 957.52 is: 1,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.81 : 3,902.23 = 957.52 : x
  2. Step 2: Convert to fraction form
    2,600.81/3,902.23 = 957.52/x
  3. Step 3: Cross multiply
    2,600.81x = 3,902.23 × 957.52
  4. Step 4: Simplify right side
    2,600.81x = 3,736,463.96
  5. Step 5: Solve for x
    x = 3,736,463.96/2,600.81
  6. Step 6: Final answer
    x = 1,436.65

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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.