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Finding the Fourth Proportional to 2,583.93, 3,875.31 and 735

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Solution

The fourth proportional to 2,583.93, 3,875.31 and 735 is: 1,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.93 : 3,875.31 = 735 : x
  2. Step 2: Convert to fraction form
    2,583.93/3,875.31 = 735/x
  3. Step 3: Cross multiply
    2,583.93x = 3,875.31 × 735
  4. Step 4: Simplify right side
    2,583.93x = 2,848,352.85
  5. Step 5: Solve for x
    x = 2,848,352.85/2,583.93
  6. Step 6: Final answer
    x = 1,102.33

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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.