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Finding the Fourth Proportional to 1,934.38, 2,901.42 and 547.76

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Solution

The fourth proportional to 1,934.38, 2,901.42 and 547.76 is: 821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.38 : 2,901.42 = 547.76 : x
  2. Step 2: Convert to fraction form
    1,934.38/2,901.42 = 547.76/x
  3. Step 3: Cross multiply
    1,934.38x = 2,901.42 × 547.76
  4. Step 4: Simplify right side
    1,934.38x = 1,589,289.07
  5. Step 5: Solve for x
    x = 1,589,289.07/1,934.38
  6. Step 6: Final answer
    x = 821.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.