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Finding the Fourth Proportional to 2,307.01, 3,464.03 and 2,232.22

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Solution

The fourth proportional to 2,307.01, 3,464.03 and 2,232.22 is: 3,351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.01 : 3,464.03 = 2,232.22 : x
  2. Step 2: Convert to fraction form
    2,307.01/3,464.03 = 2,232.22/x
  3. Step 3: Cross multiply
    2,307.01x = 3,464.03 × 2,232.22
  4. Step 4: Simplify right side
    2,307.01x = 7,732,477.05
  5. Step 5: Solve for x
    x = 7,732,477.05/2,307.01
  6. Step 6: Final answer
    x = 3,351.73

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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.