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Finding the Fourth Proportional to 2,117.40, 3,176.52 and 819

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Solution

The fourth proportional to 2,117.40, 3,176.52 and 819 is: 1,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.40 : 3,176.52 = 819 : x
  2. Step 2: Convert to fraction form
    2,117.40/3,176.52 = 819/x
  3. Step 3: Cross multiply
    2,117.40x = 3,176.52 × 819
  4. Step 4: Simplify right side
    2,117.40x = 2,601,569.88
  5. Step 5: Solve for x
    x = 2,601,569.88/2,117.40
  6. Step 6: Final answer
    x = 1,228.66

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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.