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Finding the Fourth Proportional to 2,178.52, 3,262.74 and 1,357.48

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Solution

The fourth proportional to 2,178.52, 3,262.74 and 1,357.48 is: 2,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.52 : 3,262.74 = 1,357.48 : x
  2. Step 2: Convert to fraction form
    2,178.52/3,262.74 = 1,357.48/x
  3. Step 3: Cross multiply
    2,178.52x = 3,262.74 × 1,357.48
  4. Step 4: Simplify right side
    2,178.52x = 4,429,104.30
  5. Step 5: Solve for x
    x = 4,429,104.30/2,178.52
  6. Step 6: Final answer
    x = 2,033.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.