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Finding the Fourth Proportional to 2,941.08, 4,411.60 and 993

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Solution

The fourth proportional to 2,941.08, 4,411.60 and 993 is: 1,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.08 : 4,411.60 = 993 : x
  2. Step 2: Convert to fraction form
    2,941.08/4,411.60 = 993/x
  3. Step 3: Cross multiply
    2,941.08x = 4,411.60 × 993
  4. Step 4: Simplify right side
    2,941.08x = 4,380,718.80
  5. Step 5: Solve for x
    x = 4,380,718.80/2,941.08
  6. Step 6: Final answer
    x = 1,489.49

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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.