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Finding the Fourth Proportional to 2,883, 4,325.40 and 1,034.07

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Solution

The fourth proportional to 2,883, 4,325.40 and 1,034.07 is: 1,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883 : 4,325.40 = 1,034.07 : x
  2. Step 2: Convert to fraction form
    2,883/4,325.40 = 1,034.07/x
  3. Step 3: Cross multiply
    2,883x = 4,325.40 × 1,034.07
  4. Step 4: Simplify right side
    2,883x = 4,472,766.38
  5. Step 5: Solve for x
    x = 4,472,766.38/2,883
  6. Step 6: Final answer
    x = 1,551.43

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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.