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Finding the Fourth Proportional to 2,093.13, 2,888.52 and 1,161.63

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Solution

The fourth proportional to 2,093.13, 2,888.52 and 1,161.63 is: 1,603.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.13 : 2,888.52 = 1,161.63 : x
  2. Step 2: Convert to fraction form
    2,093.13/2,888.52 = 1,161.63/x
  3. Step 3: Cross multiply
    2,093.13x = 2,888.52 × 1,161.63
  4. Step 4: Simplify right side
    2,093.13x = 3,355,391.49
  5. Step 5: Solve for x
    x = 3,355,391.49/2,093.13
  6. Step 6: Final answer
    x = 1,603.05

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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.