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Finding the Fourth Proportional to 1,857.69, 2,785.23 and 687.12

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Solution

The fourth proportional to 1,857.69, 2,785.23 and 687.12 is: 1,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.69 : 2,785.23 = 687.12 : x
  2. Step 2: Convert to fraction form
    1,857.69/2,785.23 = 687.12/x
  3. Step 3: Cross multiply
    1,857.69x = 2,785.23 × 687.12
  4. Step 4: Simplify right side
    1,857.69x = 1,913,787.24
  5. Step 5: Solve for x
    x = 1,913,787.24/1,857.69
  6. Step 6: Final answer
    x = 1,030.20

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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.