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Finding the Fourth Proportional to 3,178.53, 4,768.59 and 1,098.52

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Solution

The fourth proportional to 3,178.53, 4,768.59 and 1,098.52 is: 1,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.53 : 4,768.59 = 1,098.52 : x
  2. Step 2: Convert to fraction form
    3,178.53/4,768.59 = 1,098.52/x
  3. Step 3: Cross multiply
    3,178.53x = 4,768.59 × 1,098.52
  4. Step 4: Simplify right side
    3,178.53x = 5,238,391.49
  5. Step 5: Solve for x
    x = 5,238,391.49/3,178.53
  6. Step 6: Final answer
    x = 1,648.05

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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.