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Finding the Fourth Proportional to 2,097.95, 3,144.63 and 1,056.29

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Solution

The fourth proportional to 2,097.95, 3,144.63 and 1,056.29 is: 1,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.95 : 3,144.63 = 1,056.29 : x
  2. Step 2: Convert to fraction form
    2,097.95/3,144.63 = 1,056.29/x
  3. Step 3: Cross multiply
    2,097.95x = 3,144.63 × 1,056.29
  4. Step 4: Simplify right side
    2,097.95x = 3,321,641.22
  5. Step 5: Solve for x
    x = 3,321,641.22/2,097.95
  6. Step 6: Final answer
    x = 1,583.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.