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Finding the Fourth Proportional to 2,232.76, 3,347.79 and 999.94

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Solution

The fourth proportional to 2,232.76, 3,347.79 and 999.94 is: 1,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.76 : 3,347.79 = 999.94 : x
  2. Step 2: Convert to fraction form
    2,232.76/3,347.79 = 999.94/x
  3. Step 3: Cross multiply
    2,232.76x = 3,347.79 × 999.94
  4. Step 4: Simplify right side
    2,232.76x = 3,347,589.13
  5. Step 5: Solve for x
    x = 3,347,589.13/2,232.76
  6. Step 6: Final answer
    x = 1,499.31

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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.