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Finding the Fourth Proportional to 2,801.49, 4,201.29 and 1,046.13

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Solution

The fourth proportional to 2,801.49, 4,201.29 and 1,046.13 is: 1,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.49 : 4,201.29 = 1,046.13 : x
  2. Step 2: Convert to fraction form
    2,801.49/4,201.29 = 1,046.13/x
  3. Step 3: Cross multiply
    2,801.49x = 4,201.29 × 1,046.13
  4. Step 4: Simplify right side
    2,801.49x = 4,395,106.01
  5. Step 5: Solve for x
    x = 4,395,106.01/2,801.49
  6. Step 6: Final answer
    x = 1,568.84

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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.