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Finding the Fourth Proportional to 1,764.30, 2,648.70 and 1,069.02

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Solution

The fourth proportional to 1,764.30, 2,648.70 and 1,069.02 is: 1,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.30 : 2,648.70 = 1,069.02 : x
  2. Step 2: Convert to fraction form
    1,764.30/2,648.70 = 1,069.02/x
  3. Step 3: Cross multiply
    1,764.30x = 2,648.70 × 1,069.02
  4. Step 4: Simplify right side
    1,764.30x = 2,831,513.27
  5. Step 5: Solve for x
    x = 2,831,513.27/1,764.30
  6. Step 6: Final answer
    x = 1,604.89

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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.