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Finding the Fourth Proportional to 1,646.94, 2,471.06 and 990.05

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Solution

The fourth proportional to 1,646.94, 2,471.06 and 990.05 is: 1,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.94 : 2,471.06 = 990.05 : x
  2. Step 2: Convert to fraction form
    1,646.94/2,471.06 = 990.05/x
  3. Step 3: Cross multiply
    1,646.94x = 2,471.06 × 990.05
  4. Step 4: Simplify right side
    1,646.94x = 2,446,472.95
  5. Step 5: Solve for x
    x = 2,446,472.95/1,646.94
  6. Step 6: Final answer
    x = 1,485.47

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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.