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Finding the Fourth Proportional to 1,583.49, 2,185.24 and 875.37

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Solution

The fourth proportional to 1,583.49, 2,185.24 and 875.37 is: 1,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.49 : 2,185.24 = 875.37 : x
  2. Step 2: Convert to fraction form
    1,583.49/2,185.24 = 875.37/x
  3. Step 3: Cross multiply
    1,583.49x = 2,185.24 × 875.37
  4. Step 4: Simplify right side
    1,583.49x = 1,912,893.54
  5. Step 5: Solve for x
    x = 1,912,893.54/1,583.49
  6. Step 6: Final answer
    x = 1,208.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.