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Finding the Fourth Proportional to 3,301.84, 4,952.71 and 803.05

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Solution

The fourth proportional to 3,301.84, 4,952.71 and 803.05 is: 1,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.84 : 4,952.71 = 803.05 : x
  2. Step 2: Convert to fraction form
    3,301.84/4,952.71 = 803.05/x
  3. Step 3: Cross multiply
    3,301.84x = 4,952.71 × 803.05
  4. Step 4: Simplify right side
    3,301.84x = 3,977,273.77
  5. Step 5: Solve for x
    x = 3,977,273.77/3,301.84
  6. Step 6: Final answer
    x = 1,204.56

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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.