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Finding the Fourth Proportional to 3,178.67, 4,768.04 and 1,423.76

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Solution

The fourth proportional to 3,178.67, 4,768.04 and 1,423.76 is: 2,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.67 : 4,768.04 = 1,423.76 : x
  2. Step 2: Convert to fraction form
    3,178.67/4,768.04 = 1,423.76/x
  3. Step 3: Cross multiply
    3,178.67x = 4,768.04 × 1,423.76
  4. Step 4: Simplify right side
    3,178.67x = 6,788,537.51
  5. Step 5: Solve for x
    x = 6,788,537.51/3,178.67
  6. Step 6: Final answer
    x = 2,135.65

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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.