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Finding the Fourth Proportional to 2,303.40, 3,178.71 and 1,255.47

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Solution

The fourth proportional to 2,303.40, 3,178.71 and 1,255.47 is: 1,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.40 : 3,178.71 = 1,255.47 : x
  2. Step 2: Convert to fraction form
    2,303.40/3,178.71 = 1,255.47/x
  3. Step 3: Cross multiply
    2,303.40x = 3,178.71 × 1,255.47
  4. Step 4: Simplify right side
    2,303.40x = 3,990,775.04
  5. Step 5: Solve for x
    x = 3,990,775.04/2,303.40
  6. Step 6: Final answer
    x = 1,732.56

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