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Finding the Fourth Proportional to 1,665.91, 2,298.97 and 919.86

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Solution

The fourth proportional to 1,665.91, 2,298.97 and 919.86 is: 1,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.91 : 2,298.97 = 919.86 : x
  2. Step 2: Convert to fraction form
    1,665.91/2,298.97 = 919.86/x
  3. Step 3: Cross multiply
    1,665.91x = 2,298.97 × 919.86
  4. Step 4: Simplify right side
    1,665.91x = 2,114,733.99
  5. Step 5: Solve for x
    x = 2,114,733.99/1,665.91
  6. Step 6: Final answer
    x = 1,269.42

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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.