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Finding the Fourth Proportional to 2,758.47, 3,806.42 and 2,235.75

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Solution

The fourth proportional to 2,758.47, 3,806.42 and 2,235.75 is: 3,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.47 : 3,806.42 = 2,235.75 : x
  2. Step 2: Convert to fraction form
    2,758.47/3,806.42 = 2,235.75/x
  3. Step 3: Cross multiply
    2,758.47x = 3,806.42 × 2,235.75
  4. Step 4: Simplify right side
    2,758.47x = 8,510,203.52
  5. Step 5: Solve for x
    x = 8,510,203.52/2,758.47
  6. Step 6: Final answer
    x = 3,085.12

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1.5x scale

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.