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Finding the Fourth Proportional to 2,380.48, 3,569.80 and 994.47

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Solution

The fourth proportional to 2,380.48, 3,569.80 and 994.47 is: 1,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.48 : 3,569.80 = 994.47 : x
  2. Step 2: Convert to fraction form
    2,380.48/3,569.80 = 994.47/x
  3. Step 3: Cross multiply
    2,380.48x = 3,569.80 × 994.47
  4. Step 4: Simplify right side
    2,380.48x = 3,550,059.01
  5. Step 5: Solve for x
    x = 3,550,059.01/2,380.48
  6. Step 6: Final answer
    x = 1,491.32

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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.