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Finding the Fourth Proportional to 1,579.84, 2,181.96 and 990.88

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Solution

The fourth proportional to 1,579.84, 2,181.96 and 990.88 is: 1,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.84 : 2,181.96 = 990.88 : x
  2. Step 2: Convert to fraction form
    1,579.84/2,181.96 = 990.88/x
  3. Step 3: Cross multiply
    1,579.84x = 2,181.96 × 990.88
  4. Step 4: Simplify right side
    1,579.84x = 2,162,060.52
  5. Step 5: Solve for x
    x = 2,162,060.52/1,579.84
  6. Step 6: Final answer
    x = 1,368.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.