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Finding the Fourth Proportional to 2,035.78, 3,052.92 and 803.47

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Solution

The fourth proportional to 2,035.78, 3,052.92 and 803.47 is: 1,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.78 : 3,052.92 = 803.47 : x
  2. Step 2: Convert to fraction form
    2,035.78/3,052.92 = 803.47/x
  3. Step 3: Cross multiply
    2,035.78x = 3,052.92 × 803.47
  4. Step 4: Simplify right side
    2,035.78x = 2,452,929.63
  5. Step 5: Solve for x
    x = 2,452,929.63/2,035.78
  6. Step 6: Final answer
    x = 1,204.91

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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.