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Finding the Fourth Proportional to 2,426.28, 3,348.02 and 1,378.28

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Solution

The fourth proportional to 2,426.28, 3,348.02 and 1,378.28 is: 1,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.28 : 3,348.02 = 1,378.28 : x
  2. Step 2: Convert to fraction form
    2,426.28/3,348.02 = 1,378.28/x
  3. Step 3: Cross multiply
    2,426.28x = 3,348.02 × 1,378.28
  4. Step 4: Simplify right side
    2,426.28x = 4,614,509.01
  5. Step 5: Solve for x
    x = 4,614,509.01/2,426.28
  6. Step 6: Final answer
    x = 1,901.89

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Why These Related Problems?

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