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Finding the Fourth Proportional to 2,420.96, 3,630.98 and 940.18

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Solution

The fourth proportional to 2,420.96, 3,630.98 and 940.18 is: 1,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.96 : 3,630.98 = 940.18 : x
  2. Step 2: Convert to fraction form
    2,420.96/3,630.98 = 940.18/x
  3. Step 3: Cross multiply
    2,420.96x = 3,630.98 × 940.18
  4. Step 4: Simplify right side
    2,420.96x = 3,413,770.08
  5. Step 5: Solve for x
    x = 3,413,770.08/2,420.96
  6. Step 6: Final answer
    x = 1,410.09

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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.