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Finding the Fourth Proportional to 2,117.99, 3,178.06 and 1,008.66

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Solution

The fourth proportional to 2,117.99, 3,178.06 and 1,008.66 is: 1,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.99 : 3,178.06 = 1,008.66 : x
  2. Step 2: Convert to fraction form
    2,117.99/3,178.06 = 1,008.66/x
  3. Step 3: Cross multiply
    2,117.99x = 3,178.06 × 1,008.66
  4. Step 4: Simplify right side
    2,117.99x = 3,205,579.19
  5. Step 5: Solve for x
    x = 3,205,579.19/2,117.99
  6. Step 6: Final answer
    x = 1,513.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.