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Finding the Fourth Proportional to 1,602.62, 2,393.24 and 1,520.60

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Solution

The fourth proportional to 1,602.62, 2,393.24 and 1,520.60 is: 2,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.62 : 2,393.24 = 1,520.60 : x
  2. Step 2: Convert to fraction form
    1,602.62/2,393.24 = 1,520.60/x
  3. Step 3: Cross multiply
    1,602.62x = 2,393.24 × 1,520.60
  4. Step 4: Simplify right side
    1,602.62x = 3,639,153.14
  5. Step 5: Solve for x
    x = 3,639,153.14/1,602.62
  6. Step 6: Final answer
    x = 2,270.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.