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Finding the Fourth Proportional to 2,235.78, 3,353.54 and 696.78

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Solution

The fourth proportional to 2,235.78, 3,353.54 and 696.78 is: 1,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.78 : 3,353.54 = 696.78 : x
  2. Step 2: Convert to fraction form
    2,235.78/3,353.54 = 696.78/x
  3. Step 3: Cross multiply
    2,235.78x = 3,353.54 × 696.78
  4. Step 4: Simplify right side
    2,235.78x = 2,336,676.12
  5. Step 5: Solve for x
    x = 2,336,676.12/2,235.78
  6. Step 6: Final answer
    x = 1,045.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.