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Finding the Fourth Proportional to 1,591.14, 2,386.80 and 495.54

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Solution

The fourth proportional to 1,591.14, 2,386.80 and 495.54 is: 743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.14 : 2,386.80 = 495.54 : x
  2. Step 2: Convert to fraction form
    1,591.14/2,386.80 = 495.54/x
  3. Step 3: Cross multiply
    1,591.14x = 2,386.80 × 495.54
  4. Step 4: Simplify right side
    1,591.14x = 1,182,754.87
  5. Step 5: Solve for x
    x = 1,182,754.87/1,591.14
  6. Step 6: Final answer
    x = 743.34

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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.