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Finding the Fourth Proportional to 2,927.14, 4,390.36 and 735.70

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Solution

The fourth proportional to 2,927.14, 4,390.36 and 735.70 is: 1,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.14 : 4,390.36 = 735.70 : x
  2. Step 2: Convert to fraction form
    2,927.14/4,390.36 = 735.70/x
  3. Step 3: Cross multiply
    2,927.14x = 4,390.36 × 735.70
  4. Step 4: Simplify right side
    2,927.14x = 3,229,965.90
  5. Step 5: Solve for x
    x = 3,229,965.90/2,927.14
  6. Step 6: Final answer
    x = 1,103.46

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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.