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Finding the Fourth Proportional to 1,564.54, 2,347.49 and 833.94

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Solution

The fourth proportional to 1,564.54, 2,347.49 and 833.94 is: 1,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.54 : 2,347.49 = 833.94 : x
  2. Step 2: Convert to fraction form
    1,564.54/2,347.49 = 833.94/x
  3. Step 3: Cross multiply
    1,564.54x = 2,347.49 × 833.94
  4. Step 4: Simplify right side
    1,564.54x = 1,957,665.81
  5. Step 5: Solve for x
    x = 1,957,665.81/1,564.54
  6. Step 6: Final answer
    x = 1,251.27

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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.