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Finding the Fourth Proportional to 2,303.28, 3,475.44 and 2,213.28

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Solution

The fourth proportional to 2,303.28, 3,475.44 and 2,213.28 is: 3,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.28 : 3,475.44 = 2,213.28 : x
  2. Step 2: Convert to fraction form
    2,303.28/3,475.44 = 2,213.28/x
  3. Step 3: Cross multiply
    2,303.28x = 3,475.44 × 2,213.28
  4. Step 4: Simplify right side
    2,303.28x = 7,692,121.84
  5. Step 5: Solve for x
    x = 7,692,121.84/2,303.28
  6. Step 6: Final answer
    x = 3,339.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.