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Finding the Fourth Proportional to 2,235.57, 3,085 and 1,291.41

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Solution

The fourth proportional to 2,235.57, 3,085 and 1,291.41 is: 1,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.57 : 3,085 = 1,291.41 : x
  2. Step 2: Convert to fraction form
    2,235.57/3,085 = 1,291.41/x
  3. Step 3: Cross multiply
    2,235.57x = 3,085 × 1,291.41
  4. Step 4: Simplify right side
    2,235.57x = 3,983,999.85
  5. Step 5: Solve for x
    x = 3,983,999.85/2,235.57
  6. Step 6: Final answer
    x = 1,782.10

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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.