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Finding the Fourth Proportional to 2,091.53, 2,886.84 and 1,252.44

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Solution

The fourth proportional to 2,091.53, 2,886.84 and 1,252.44 is: 1,728.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.53 : 2,886.84 = 1,252.44 : x
  2. Step 2: Convert to fraction form
    2,091.53/2,886.84 = 1,252.44/x
  3. Step 3: Cross multiply
    2,091.53x = 2,886.84 × 1,252.44
  4. Step 4: Simplify right side
    2,091.53x = 3,615,599.47
  5. Step 5: Solve for x
    x = 3,615,599.47/2,091.53
  6. Step 6: Final answer
    x = 1,728.68

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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.