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Finding the Fourth Proportional to 1,964.24, 2,713.06 and 1,469.08

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Solution

The fourth proportional to 1,964.24, 2,713.06 and 1,469.08 is: 2,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.24 : 2,713.06 = 1,469.08 : x
  2. Step 2: Convert to fraction form
    1,964.24/2,713.06 = 1,469.08/x
  3. Step 3: Cross multiply
    1,964.24x = 2,713.06 × 1,469.08
  4. Step 4: Simplify right side
    1,964.24x = 3,985,702.18
  5. Step 5: Solve for x
    x = 3,985,702.18/1,964.24
  6. Step 6: Final answer
    x = 2,029.13

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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.