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Finding the Fourth Proportional to 2,651.80, 3,659.30 and 1,472.80

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Solution

The fourth proportional to 2,651.80, 3,659.30 and 1,472.80 is: 2,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.80 : 3,659.30 = 1,472.80 : x
  2. Step 2: Convert to fraction form
    2,651.80/3,659.30 = 1,472.80/x
  3. Step 3: Cross multiply
    2,651.80x = 3,659.30 × 1,472.80
  4. Step 4: Simplify right side
    2,651.80x = 5,389,417.04
  5. Step 5: Solve for x
    x = 5,389,417.04/2,651.80
  6. Step 6: Final answer
    x = 2,032.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.