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Finding the Fourth Proportional to 2,315.48, 3,473.06 and 1,016.50

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Solution

The fourth proportional to 2,315.48, 3,473.06 and 1,016.50 is: 1,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.48 : 3,473.06 = 1,016.50 : x
  2. Step 2: Convert to fraction form
    2,315.48/3,473.06 = 1,016.50/x
  3. Step 3: Cross multiply
    2,315.48x = 3,473.06 × 1,016.50
  4. Step 4: Simplify right side
    2,315.48x = 3,530,365.49
  5. Step 5: Solve for x
    x = 3,530,365.49/2,315.48
  6. Step 6: Final answer
    x = 1,524.68

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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.