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Finding the Fourth Proportional to 1,356.57, 2,035.94 and 1,261.53

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Solution

The fourth proportional to 1,356.57, 2,035.94 and 1,261.53 is: 1,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.57 : 2,035.94 = 1,261.53 : x
  2. Step 2: Convert to fraction form
    1,356.57/2,035.94 = 1,261.53/x
  3. Step 3: Cross multiply
    1,356.57x = 2,035.94 × 1,261.53
  4. Step 4: Simplify right side
    1,356.57x = 2,568,393.08
  5. Step 5: Solve for x
    x = 2,568,393.08/1,356.57
  6. Step 6: Final answer
    x = 1,893.30

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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.