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Finding the Fourth Proportional to 1,782.84, 2,673.93 and 808.71

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Solution

The fourth proportional to 1,782.84, 2,673.93 and 808.71 is: 1,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.84 : 2,673.93 = 808.71 : x
  2. Step 2: Convert to fraction form
    1,782.84/2,673.93 = 808.71/x
  3. Step 3: Cross multiply
    1,782.84x = 2,673.93 × 808.71
  4. Step 4: Simplify right side
    1,782.84x = 2,162,433.93
  5. Step 5: Solve for x
    x = 2,162,433.93/1,782.84
  6. Step 6: Final answer
    x = 1,212.92

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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.