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Finding the Fourth Proportional to 2,471.56, 3,705.66 and 990.28

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Solution

The fourth proportional to 2,471.56, 3,705.66 and 990.28 is: 1,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.56 : 3,705.66 = 990.28 : x
  2. Step 2: Convert to fraction form
    2,471.56/3,705.66 = 990.28/x
  3. Step 3: Cross multiply
    2,471.56x = 3,705.66 × 990.28
  4. Step 4: Simplify right side
    2,471.56x = 3,669,640.98
  5. Step 5: Solve for x
    x = 3,669,640.98/2,471.56
  6. Step 6: Final answer
    x = 1,484.75

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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.