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Finding the Fourth Proportional to 1,805.68, 2,491.86 and 998.16

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Solution

The fourth proportional to 1,805.68, 2,491.86 and 998.16 is: 1,377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.68 : 2,491.86 = 998.16 : x
  2. Step 2: Convert to fraction form
    1,805.68/2,491.86 = 998.16/x
  3. Step 3: Cross multiply
    1,805.68x = 2,491.86 × 998.16
  4. Step 4: Simplify right side
    1,805.68x = 2,487,274.98
  5. Step 5: Solve for x
    x = 2,487,274.98/1,805.68
  6. Step 6: Final answer
    x = 1,377.47

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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.