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Finding the Fourth Proportional to 2,692.30, 4,038.45 and 2,044.30

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Solution

The fourth proportional to 2,692.30, 4,038.45 and 2,044.30 is: 3,066.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.30 : 4,038.45 = 2,044.30 : x
  2. Step 2: Convert to fraction form
    2,692.30/4,038.45 = 2,044.30/x
  3. Step 3: Cross multiply
    2,692.30x = 4,038.45 × 2,044.30
  4. Step 4: Simplify right side
    2,692.30x = 8,255,803.34
  5. Step 5: Solve for x
    x = 8,255,803.34/2,692.30
  6. Step 6: Final answer
    x = 3,066.45

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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.