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Finding the Fourth Proportional to 4,098.40, 6,148.40 and 1,758.40

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Solution

The fourth proportional to 4,098.40, 6,148.40 and 1,758.40 is: 2,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.40 : 6,148.40 = 1,758.40 : x
  2. Step 2: Convert to fraction form
    4,098.40/6,148.40 = 1,758.40/x
  3. Step 3: Cross multiply
    4,098.40x = 6,148.40 × 1,758.40
  4. Step 4: Simplify right side
    4,098.40x = 10,811,346.56
  5. Step 5: Solve for x
    x = 10,811,346.56/4,098.40
  6. Step 6: Final answer
    x = 2,637.94

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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.