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Finding the Fourth Proportional to 2,883.72, 4,325.64 and 1,034.96

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Solution

The fourth proportional to 2,883.72, 4,325.64 and 1,034.96 is: 1,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.72 : 4,325.64 = 1,034.96 : x
  2. Step 2: Convert to fraction form
    2,883.72/4,325.64 = 1,034.96/x
  3. Step 3: Cross multiply
    2,883.72x = 4,325.64 × 1,034.96
  4. Step 4: Simplify right side
    2,883.72x = 4,476,842.75
  5. Step 5: Solve for x
    x = 4,476,842.75/2,883.72
  6. Step 6: Final answer
    x = 1,552.45

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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.