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Finding the Fourth Proportional to 1,678, 2,519.20 and 1,472.80

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Solution

The fourth proportional to 1,678, 2,519.20 and 1,472.80 is: 2,211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678 : 2,519.20 = 1,472.80 : x
  2. Step 2: Convert to fraction form
    1,678/2,519.20 = 1,472.80/x
  3. Step 3: Cross multiply
    1,678x = 2,519.20 × 1,472.80
  4. Step 4: Simplify right side
    1,678x = 3,710,277.76
  5. Step 5: Solve for x
    x = 3,710,277.76/1,678
  6. Step 6: Final answer
    x = 2,211.13

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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.