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Finding the Fourth Proportional to 2,225.81, 3,335.06 and 764.16

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Solution

The fourth proportional to 2,225.81, 3,335.06 and 764.16 is: 1,144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.81 : 3,335.06 = 764.16 : x
  2. Step 2: Convert to fraction form
    2,225.81/3,335.06 = 764.16/x
  3. Step 3: Cross multiply
    2,225.81x = 3,335.06 × 764.16
  4. Step 4: Simplify right side
    2,225.81x = 2,548,515.63
  5. Step 5: Solve for x
    x = 2,548,515.63/2,225.81
  6. Step 6: Final answer
    x = 1,144.99

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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.