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Finding the Fourth Proportional to 2,321.64, 3,484.92 and 2,269.44

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Solution

The fourth proportional to 2,321.64, 3,484.92 and 2,269.44 is: 3,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.64 : 3,484.92 = 2,269.44 : x
  2. Step 2: Convert to fraction form
    2,321.64/3,484.92 = 2,269.44/x
  3. Step 3: Cross multiply
    2,321.64x = 3,484.92 × 2,269.44
  4. Step 4: Simplify right side
    2,321.64x = 7,908,816.84
  5. Step 5: Solve for x
    x = 7,908,816.84/2,321.64
  6. Step 6: Final answer
    x = 3,406.56

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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.