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Finding the Fourth Proportional to 3,302.16, 4,953.72 and 993.84

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Solution

The fourth proportional to 3,302.16, 4,953.72 and 993.84 is: 1,490.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.16 : 4,953.72 = 993.84 : x
  2. Step 2: Convert to fraction form
    3,302.16/4,953.72 = 993.84/x
  3. Step 3: Cross multiply
    3,302.16x = 4,953.72 × 993.84
  4. Step 4: Simplify right side
    3,302.16x = 4,923,205.08
  5. Step 5: Solve for x
    x = 4,923,205.08/3,302.16
  6. Step 6: Final answer
    x = 1,490.90

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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.