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Finding the Fourth Proportional to 2,401.49, 3,602.24 and 940.45

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Solution

The fourth proportional to 2,401.49, 3,602.24 and 940.45 is: 1,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.49 : 3,602.24 = 940.45 : x
  2. Step 2: Convert to fraction form
    2,401.49/3,602.24 = 940.45/x
  3. Step 3: Cross multiply
    2,401.49x = 3,602.24 × 940.45
  4. Step 4: Simplify right side
    2,401.49x = 3,387,726.61
  5. Step 5: Solve for x
    x = 3,387,726.61/2,401.49
  6. Step 6: Final answer
    x = 1,410.68

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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.