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Finding the Fourth Proportional to 1,787.81, 2,681.72 and 761.81

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Solution

The fourth proportional to 1,787.81, 2,681.72 and 761.81 is: 1,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.81 : 2,681.72 = 761.81 : x
  2. Step 2: Convert to fraction form
    1,787.81/2,681.72 = 761.81/x
  3. Step 3: Cross multiply
    1,787.81x = 2,681.72 × 761.81
  4. Step 4: Simplify right side
    1,787.81x = 2,042,969.72
  5. Step 5: Solve for x
    x = 2,042,969.72/1,787.81
  6. Step 6: Final answer
    x = 1,142.72

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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.