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Finding the Fourth Proportional to 2,233.44, 3,347.74 and 999.16

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Solution

The fourth proportional to 2,233.44, 3,347.74 and 999.16 is: 1,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.44 : 3,347.74 = 999.16 : x
  2. Step 2: Convert to fraction form
    2,233.44/3,347.74 = 999.16/x
  3. Step 3: Cross multiply
    2,233.44x = 3,347.74 × 999.16
  4. Step 4: Simplify right side
    2,233.44x = 3,344,927.90
  5. Step 5: Solve for x
    x = 3,344,927.90/2,233.44
  6. Step 6: Final answer
    x = 1,497.66

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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.