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Finding the Fourth Proportional to 2,235.57, 3,085.14 and 1,240.86

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Solution

The fourth proportional to 2,235.57, 3,085.14 and 1,240.86 is: 1,712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.57 : 3,085.14 = 1,240.86 : x
  2. Step 2: Convert to fraction form
    2,235.57/3,085.14 = 1,240.86/x
  3. Step 3: Cross multiply
    2,235.57x = 3,085.14 × 1,240.86
  4. Step 4: Simplify right side
    2,235.57x = 3,828,243.04
  5. Step 5: Solve for x
    x = 3,828,243.04/2,235.57
  6. Step 6: Final answer
    x = 1,712.43

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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.