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Finding the Fourth Proportional to 1,822.71, 2,734.04 and 524.17

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Solution

The fourth proportional to 1,822.71, 2,734.04 and 524.17 is: 786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.71 : 2,734.04 = 524.17 : x
  2. Step 2: Convert to fraction form
    1,822.71/2,734.04 = 524.17/x
  3. Step 3: Cross multiply
    1,822.71x = 2,734.04 × 524.17
  4. Step 4: Simplify right side
    1,822.71x = 1,433,101.75
  5. Step 5: Solve for x
    x = 1,433,101.75/1,822.71
  6. Step 6: Final answer
    x = 786.25

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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.