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Finding the Fourth Proportional to 2,472.51, 3,412.12 and 1,353.50

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Solution

The fourth proportional to 2,472.51, 3,412.12 and 1,353.50 is: 1,867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.51 : 3,412.12 = 1,353.50 : x
  2. Step 2: Convert to fraction form
    2,472.51/3,412.12 = 1,353.50/x
  3. Step 3: Cross multiply
    2,472.51x = 3,412.12 × 1,353.50
  4. Step 4: Simplify right side
    2,472.51x = 4,618,301.85
  5. Step 5: Solve for x
    x = 4,618,301.85/2,472.51
  6. Step 6: Final answer
    x = 1,867.86

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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.