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Finding the Fourth Proportional to 3,178.48, 4,767.72 and 2,530.48

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Solution

The fourth proportional to 3,178.48, 4,767.72 and 2,530.48 is: 3,795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.48 : 4,767.72 = 2,530.48 : x
  2. Step 2: Convert to fraction form
    3,178.48/4,767.72 = 2,530.48/x
  3. Step 3: Cross multiply
    3,178.48x = 4,767.72 × 2,530.48
  4. Step 4: Simplify right side
    3,178.48x = 12,064,620.11
  5. Step 5: Solve for x
    x = 12,064,620.11/3,178.48
  6. Step 6: Final answer
    x = 3,795.72

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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.