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Finding the Fourth Proportional to 1,564.23, 2,347.28 and 833.81

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Solution

The fourth proportional to 1,564.23, 2,347.28 and 833.81 is: 1,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.23 : 2,347.28 = 833.81 : x
  2. Step 2: Convert to fraction form
    1,564.23/2,347.28 = 833.81/x
  3. Step 3: Cross multiply
    1,564.23x = 2,347.28 × 833.81
  4. Step 4: Simplify right side
    1,564.23x = 1,957,185.54
  5. Step 5: Solve for x
    x = 1,957,185.54/1,564.23
  6. Step 6: Final answer
    x = 1,251.21

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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.