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Finding the Fourth Proportional to 2,687.40, 4,030.78 and 739.40

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Solution

The fourth proportional to 2,687.40, 4,030.78 and 739.40 is: 1,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.40 : 4,030.78 = 739.40 : x
  2. Step 2: Convert to fraction form
    2,687.40/4,030.78 = 739.40/x
  3. Step 3: Cross multiply
    2,687.40x = 4,030.78 × 739.40
  4. Step 4: Simplify right side
    2,687.40x = 2,980,358.73
  5. Step 5: Solve for x
    x = 2,980,358.73/2,687.40
  6. Step 6: Final answer
    x = 1,109.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.