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Finding the Fourth Proportional to 1,472.67, 2,219.00 and 1,218.33

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Solution

The fourth proportional to 1,472.67, 2,219.00 and 1,218.33 is: 1,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.67 : 2,219.00 = 1,218.33 : x
  2. Step 2: Convert to fraction form
    1,472.67/2,219.00 = 1,218.33/x
  3. Step 3: Cross multiply
    1,472.67x = 2,219.00 × 1,218.33
  4. Step 4: Simplify right side
    1,472.67x = 2,703,468.18
  5. Step 5: Solve for x
    x = 2,703,468.18/1,472.67
  6. Step 6: Final answer
    x = 1,835.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.