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Finding the Fourth Proportional to 3,184.03, 4,775.64 and 994.24

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Solution

The fourth proportional to 3,184.03, 4,775.64 and 994.24 is: 1,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.03 : 4,775.64 = 994.24 : x
  2. Step 2: Convert to fraction form
    3,184.03/4,775.64 = 994.24/x
  3. Step 3: Cross multiply
    3,184.03x = 4,775.64 × 994.24
  4. Step 4: Simplify right side
    3,184.03x = 4,748,132.31
  5. Step 5: Solve for x
    x = 4,748,132.31/3,184.03
  6. Step 6: Final answer
    x = 1,491.23

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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.