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Finding the Fourth Proportional to 3,102.95, 4,652.87 and 994.29

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Solution

The fourth proportional to 3,102.95, 4,652.87 and 994.29 is: 1,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.95 : 4,652.87 = 994.29 : x
  2. Step 2: Convert to fraction form
    3,102.95/4,652.87 = 994.29/x
  3. Step 3: Cross multiply
    3,102.95x = 4,652.87 × 994.29
  4. Step 4: Simplify right side
    3,102.95x = 4,626,297.14
  5. Step 5: Solve for x
    x = 4,626,297.14/3,102.95
  6. Step 6: Final answer
    x = 1,490.94

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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.