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Finding the Fourth Proportional to 2,941.52, 4,412.58 and 993.87

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Solution

The fourth proportional to 2,941.52, 4,412.58 and 993.87 is: 1,490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.52 : 4,412.58 = 993.87 : x
  2. Step 2: Convert to fraction form
    2,941.52/4,412.58 = 993.87/x
  3. Step 3: Cross multiply
    2,941.52x = 4,412.58 × 993.87
  4. Step 4: Simplify right side
    2,941.52x = 4,385,527.16
  5. Step 5: Solve for x
    x = 4,385,527.16/2,941.52
  6. Step 6: Final answer
    x = 1,490.91

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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.