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Finding the Fourth Proportional to 2,741.70, 4,111.35 and 1,097.70

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Solution

The fourth proportional to 2,741.70, 4,111.35 and 1,097.70 is: 1,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.70 : 4,111.35 = 1,097.70 : x
  2. Step 2: Convert to fraction form
    2,741.70/4,111.35 = 1,097.70/x
  3. Step 3: Cross multiply
    2,741.70x = 4,111.35 × 1,097.70
  4. Step 4: Simplify right side
    2,741.70x = 4,513,028.90
  5. Step 5: Solve for x
    x = 4,513,028.90/2,741.70
  6. Step 6: Final answer
    x = 1,646.07

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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.