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Finding the Fourth Proportional to 2,642.24, 3,964.06 and 999.26

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Solution

The fourth proportional to 2,642.24, 3,964.06 and 999.26 is: 1,499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.24 : 3,964.06 = 999.26 : x
  2. Step 2: Convert to fraction form
    2,642.24/3,964.06 = 999.26/x
  3. Step 3: Cross multiply
    2,642.24x = 3,964.06 × 999.26
  4. Step 4: Simplify right side
    2,642.24x = 3,961,126.60
  5. Step 5: Solve for x
    x = 3,961,126.60/2,642.24
  6. Step 6: Final answer
    x = 1,499.15

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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.