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Finding the Fourth Proportional to 2,093.22, 2,888.64 and 1,149.03

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Solution

The fourth proportional to 2,093.22, 2,888.64 and 1,149.03 is: 1,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.22 : 2,888.64 = 1,149.03 : x
  2. Step 2: Convert to fraction form
    2,093.22/2,888.64 = 1,149.03/x
  3. Step 3: Cross multiply
    2,093.22x = 2,888.64 × 1,149.03
  4. Step 4: Simplify right side
    2,093.22x = 3,319,130.13
  5. Step 5: Solve for x
    x = 3,319,130.13/2,093.22
  6. Step 6: Final answer
    x = 1,585.66

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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.