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Finding the Fourth Proportional to 2,235.92, 3,085.72 and 1,291.92

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Solution

The fourth proportional to 2,235.92, 3,085.72 and 1,291.92 is: 1,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.92 : 3,085.72 = 1,291.92 : x
  2. Step 2: Convert to fraction form
    2,235.92/3,085.72 = 1,291.92/x
  3. Step 3: Cross multiply
    2,235.92x = 3,085.72 × 1,291.92
  4. Step 4: Simplify right side
    2,235.92x = 3,986,503.38
  5. Step 5: Solve for x
    x = 3,986,503.38/2,235.92
  6. Step 6: Final answer
    x = 1,782.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.