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Finding the Fourth Proportional to 2,033.13, 2,805.72 and 1,101.63

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Solution

The fourth proportional to 2,033.13, 2,805.72 and 1,101.63 is: 1,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.13 : 2,805.72 = 1,101.63 : x
  2. Step 2: Convert to fraction form
    2,033.13/2,805.72 = 1,101.63/x
  3. Step 3: Cross multiply
    2,033.13x = 2,805.72 × 1,101.63
  4. Step 4: Simplify right side
    2,033.13x = 3,090,865.32
  5. Step 5: Solve for x
    x = 3,090,865.32/2,033.13
  6. Step 6: Final answer
    x = 1,520.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.