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Finding the Fourth Proportional to 1,860.36, 2,787.96 and 818.81

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Solution

The fourth proportional to 1,860.36, 2,787.96 and 818.81 is: 1,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.36 : 2,787.96 = 818.81 : x
  2. Step 2: Convert to fraction form
    1,860.36/2,787.96 = 818.81/x
  3. Step 3: Cross multiply
    1,860.36x = 2,787.96 × 818.81
  4. Step 4: Simplify right side
    1,860.36x = 2,282,798.66
  5. Step 5: Solve for x
    x = 2,282,798.66/1,860.36
  6. Step 6: Final answer
    x = 1,227.07

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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.