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Finding the Fourth Proportional to 2,235.71, 3,085.76 and 1,241.33

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Solution

The fourth proportional to 2,235.71, 3,085.76 and 1,241.33 is: 1,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.71 : 3,085.76 = 1,241.33 : x
  2. Step 2: Convert to fraction form
    2,235.71/3,085.76 = 1,241.33/x
  3. Step 3: Cross multiply
    2,235.71x = 3,085.76 × 1,241.33
  4. Step 4: Simplify right side
    2,235.71x = 3,830,424.83
  5. Step 5: Solve for x
    x = 3,830,424.83/2,235.71
  6. Step 6: Final answer
    x = 1,713.30

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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.