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Finding the Fourth Proportional to 2,093.28, 2,888.84 and 1,161.80

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Solution

The fourth proportional to 2,093.28, 2,888.84 and 1,161.80 is: 1,603.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.28 : 2,888.84 = 1,161.80 : x
  2. Step 2: Convert to fraction form
    2,093.28/2,888.84 = 1,161.80/x
  3. Step 3: Cross multiply
    2,093.28x = 2,888.84 × 1,161.80
  4. Step 4: Simplify right side
    2,093.28x = 3,356,254.31
  5. Step 5: Solve for x
    x = 3,356,254.31/2,093.28
  6. Step 6: Final answer
    x = 1,603.35

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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.