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Finding the Fourth Proportional to 1,857.65, 2,787.87 and 688.36

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Solution

The fourth proportional to 1,857.65, 2,787.87 and 688.36 is: 1,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.65 : 2,787.87 = 688.36 : x
  2. Step 2: Convert to fraction form
    1,857.65/2,787.87 = 688.36/x
  3. Step 3: Cross multiply
    1,857.65x = 2,787.87 × 688.36
  4. Step 4: Simplify right side
    1,857.65x = 1,919,051.22
  5. Step 5: Solve for x
    x = 1,919,051.22/1,857.65
  6. Step 6: Final answer
    x = 1,033.06

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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.