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Finding the Fourth Proportional to 2,455.32, 3,683.49 and 994.47

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Solution

The fourth proportional to 2,455.32, 3,683.49 and 994.47 is: 1,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.32 : 3,683.49 = 994.47 : x
  2. Step 2: Convert to fraction form
    2,455.32/3,683.49 = 994.47/x
  3. Step 3: Cross multiply
    2,455.32x = 3,683.49 × 994.47
  4. Step 4: Simplify right side
    2,455.32x = 3,663,120.30
  5. Step 5: Solve for x
    x = 3,663,120.30/2,455.32
  6. Step 6: Final answer
    x = 1,491.91

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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.