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Finding the Fourth Proportional to 1,857.73, 2,782.98 and 1,033.51

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Solution

The fourth proportional to 1,857.73, 2,782.98 and 1,033.51 is: 1,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.73 : 2,782.98 = 1,033.51 : x
  2. Step 2: Convert to fraction form
    1,857.73/2,782.98 = 1,033.51/x
  3. Step 3: Cross multiply
    1,857.73x = 2,782.98 × 1,033.51
  4. Step 4: Simplify right side
    1,857.73x = 2,876,223.74
  5. Step 5: Solve for x
    x = 2,876,223.74/1,857.73
  6. Step 6: Final answer
    x = 1,548.25

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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.