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Finding the Fourth Proportional to 2,911.92, 4,018.10 and 1,716.00

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Solution

The fourth proportional to 2,911.92, 4,018.10 and 1,716.00 is: 2,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.92 : 4,018.10 = 1,716.00 : x
  2. Step 2: Convert to fraction form
    2,911.92/4,018.10 = 1,716.00/x
  3. Step 3: Cross multiply
    2,911.92x = 4,018.10 × 1,716.00
  4. Step 4: Simplify right side
    2,911.92x = 6,895,030.93
  5. Step 5: Solve for x
    x = 6,895,030.93/2,911.92
  6. Step 6: Final answer
    x = 2,367.87

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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.