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Finding the Fourth Proportional to 2,533.04, 3,799.59 and 801.26

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Solution

The fourth proportional to 2,533.04, 3,799.59 and 801.26 is: 1,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.04 : 3,799.59 = 801.26 : x
  2. Step 2: Convert to fraction form
    2,533.04/3,799.59 = 801.26/x
  3. Step 3: Cross multiply
    2,533.04x = 3,799.59 × 801.26
  4. Step 4: Simplify right side
    2,533.04x = 3,044,459.48
  5. Step 5: Solve for x
    x = 3,044,459.48/2,533.04
  6. Step 6: Final answer
    x = 1,201.90

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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.