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Finding the Fourth Proportional to 1,520.92, 2,098.90 and 891.30

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Solution

The fourth proportional to 1,520.92, 2,098.90 and 891.30 is: 1,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.92 : 2,098.90 = 891.30 : x
  2. Step 2: Convert to fraction form
    1,520.92/2,098.90 = 891.30/x
  3. Step 3: Cross multiply
    1,520.92x = 2,098.90 × 891.30
  4. Step 4: Simplify right side
    1,520.92x = 1,870,745.11
  5. Step 5: Solve for x
    x = 1,870,745.11/1,520.92
  6. Step 6: Final answer
    x = 1,230.01

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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.