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Finding the Fourth Proportional to 1,764.54, 2,436.21 and 1,241.10

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Solution

The fourth proportional to 1,764.54, 2,436.21 and 1,241.10 is: 1,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.54 : 2,436.21 = 1,241.10 : x
  2. Step 2: Convert to fraction form
    1,764.54/2,436.21 = 1,241.10/x
  3. Step 3: Cross multiply
    1,764.54x = 2,436.21 × 1,241.10
  4. Step 4: Simplify right side
    1,764.54x = 3,023,580.23
  5. Step 5: Solve for x
    x = 3,023,580.23/1,764.54
  6. Step 6: Final answer
    x = 1,713.52

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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.