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Finding the Fourth Proportional to 2,094.48, 3,141.74 and 534.48

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Solution

The fourth proportional to 2,094.48, 3,141.74 and 534.48 is: 801.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.48 : 3,141.74 = 534.48 : x
  2. Step 2: Convert to fraction form
    2,094.48/3,141.74 = 534.48/x
  3. Step 3: Cross multiply
    2,094.48x = 3,141.74 × 534.48
  4. Step 4: Simplify right side
    2,094.48x = 1,679,194.52
  5. Step 5: Solve for x
    x = 1,679,194.52/2,094.48
  6. Step 6: Final answer
    x = 801.72

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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.