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Finding the Fourth Proportional to 2,473.88, 3,414.02 and 1,426.01

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Solution

The fourth proportional to 2,473.88, 3,414.02 and 1,426.01 is: 1,967.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.88 : 3,414.02 = 1,426.01 : x
  2. Step 2: Convert to fraction form
    2,473.88/3,414.02 = 1,426.01/x
  3. Step 3: Cross multiply
    2,473.88x = 3,414.02 × 1,426.01
  4. Step 4: Simplify right side
    2,473.88x = 4,868,402.46
  5. Step 5: Solve for x
    x = 4,868,402.46/2,473.88
  6. Step 6: Final answer
    x = 1,967.93

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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.