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Finding the Fourth Proportional to 2,384.65, 3,577.22 and 824.45

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Solution

The fourth proportional to 2,384.65, 3,577.22 and 824.45 is: 1,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.65 : 3,577.22 = 824.45 : x
  2. Step 2: Convert to fraction form
    2,384.65/3,577.22 = 824.45/x
  3. Step 3: Cross multiply
    2,384.65x = 3,577.22 × 824.45
  4. Step 4: Simplify right side
    2,384.65x = 2,949,239.03
  5. Step 5: Solve for x
    x = 2,949,239.03/2,384.65
  6. Step 6: Final answer
    x = 1,236.76

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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.