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Finding the Fourth Proportional to 2,273.42, 3,138.65 and 1,488.83

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Solution

The fourth proportional to 2,273.42, 3,138.65 and 1,488.83 is: 2,055.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.42 : 3,138.65 = 1,488.83 : x
  2. Step 2: Convert to fraction form
    2,273.42/3,138.65 = 1,488.83/x
  3. Step 3: Cross multiply
    2,273.42x = 3,138.65 × 1,488.83
  4. Step 4: Simplify right side
    2,273.42x = 4,672,916.38
  5. Step 5: Solve for x
    x = 4,672,916.38/2,273.42
  6. Step 6: Final answer
    x = 2,055.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.