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Finding the Fourth Proportional to 2,692.25, 4,036.80 and 1,026.47

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Solution

The fourth proportional to 2,692.25, 4,036.80 and 1,026.47 is: 1,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.25 : 4,036.80 = 1,026.47 : x
  2. Step 2: Convert to fraction form
    2,692.25/4,036.80 = 1,026.47/x
  3. Step 3: Cross multiply
    2,692.25x = 4,036.80 × 1,026.47
  4. Step 4: Simplify right side
    2,692.25x = 4,143,654.10
  5. Step 5: Solve for x
    x = 4,143,654.10/2,692.25
  6. Step 6: Final answer
    x = 1,539.10

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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.