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Finding the Fourth Proportional to 2,094.47, 3,142.56 and 923.85

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Solution

The fourth proportional to 2,094.47, 3,142.56 and 923.85 is: 1,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.47 : 3,142.56 = 923.85 : x
  2. Step 2: Convert to fraction form
    2,094.47/3,142.56 = 923.85/x
  3. Step 3: Cross multiply
    2,094.47x = 3,142.56 × 923.85
  4. Step 4: Simplify right side
    2,094.47x = 2,903,257.52
  5. Step 5: Solve for x
    x = 2,903,257.52/2,094.47
  6. Step 6: Final answer
    x = 1,386.15

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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.