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Finding the Fourth Proportional to 2,356.10, 3,250.05 and 1,984.82

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Solution

The fourth proportional to 2,356.10, 3,250.05 and 1,984.82 is: 2,737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.10 : 3,250.05 = 1,984.82 : x
  2. Step 2: Convert to fraction form
    2,356.10/3,250.05 = 1,984.82/x
  3. Step 3: Cross multiply
    2,356.10x = 3,250.05 × 1,984.82
  4. Step 4: Simplify right side
    2,356.10x = 6,450,764.24
  5. Step 5: Solve for x
    x = 6,450,764.24/2,356.10
  6. Step 6: Final answer
    x = 2,737.90

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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.