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Finding the Fourth Proportional to 2,914.72, 4,011.40 and 2,678.68

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Solution

The fourth proportional to 2,914.72, 4,011.40 and 2,678.68 is: 3,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.72 : 4,011.40 = 2,678.68 : x
  2. Step 2: Convert to fraction form
    2,914.72/4,011.40 = 2,678.68/x
  3. Step 3: Cross multiply
    2,914.72x = 4,011.40 × 2,678.68
  4. Step 4: Simplify right side
    2,914.72x = 10,745,256.95
  5. Step 5: Solve for x
    x = 10,745,256.95/2,914.72
  6. Step 6: Final answer
    x = 3,686.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.