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Finding the Fourth Proportional to 2,303.31, 3,178.54 and 1,255.38

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Solution

The fourth proportional to 2,303.31, 3,178.54 and 1,255.38 is: 1,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.31 : 3,178.54 = 1,255.38 : x
  2. Step 2: Convert to fraction form
    2,303.31/3,178.54 = 1,255.38/x
  3. Step 3: Cross multiply
    2,303.31x = 3,178.54 × 1,255.38
  4. Step 4: Simplify right side
    2,303.31x = 3,990,265.19
  5. Step 5: Solve for x
    x = 3,990,265.19/2,303.31
  6. Step 6: Final answer
    x = 1,732.40

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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.