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Finding the Fourth Proportional to 2,941.54, 4,412.96 and 993.70

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Solution

The fourth proportional to 2,941.54, 4,412.96 and 993.70 is: 1,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.54 : 4,412.96 = 993.70 : x
  2. Step 2: Convert to fraction form
    2,941.54/4,412.96 = 993.70/x
  3. Step 3: Cross multiply
    2,941.54x = 4,412.96 × 993.70
  4. Step 4: Simplify right side
    2,941.54x = 4,385,158.35
  5. Step 5: Solve for x
    x = 4,385,158.35/2,941.54
  6. Step 6: Final answer
    x = 1,490.77

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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.