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Finding the Fourth Proportional to 1,819.90, 2,511.47 and 991.90

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Solution

The fourth proportional to 1,819.90, 2,511.47 and 991.90 is: 1,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.90 : 2,511.47 = 991.90 : x
  2. Step 2: Convert to fraction form
    1,819.90/2,511.47 = 991.90/x
  3. Step 3: Cross multiply
    1,819.90x = 2,511.47 × 991.90
  4. Step 4: Simplify right side
    1,819.90x = 2,491,128.41
  5. Step 5: Solve for x
    x = 2,491,128.41/1,819.90
  6. Step 6: Final answer
    x = 1,368.83

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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.