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Finding the Fourth Proportional to 2,692.31, 4,044.54 and 1,597.39

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Solution

The fourth proportional to 2,692.31, 4,044.54 and 1,597.39 is: 2,399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.31 : 4,044.54 = 1,597.39 : x
  2. Step 2: Convert to fraction form
    2,692.31/4,044.54 = 1,597.39/x
  3. Step 3: Cross multiply
    2,692.31x = 4,044.54 × 1,597.39
  4. Step 4: Simplify right side
    2,692.31x = 6,460,699.76
  5. Step 5: Solve for x
    x = 6,460,699.76/2,692.31
  6. Step 6: Final answer
    x = 2,399.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.