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Finding the Fourth Proportional to 1,964.23, 2,710.64 and 1,080.02

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Solution

The fourth proportional to 1,964.23, 2,710.64 and 1,080.02 is: 1,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.23 : 2,710.64 = 1,080.02 : x
  2. Step 2: Convert to fraction form
    1,964.23/2,710.64 = 1,080.02/x
  3. Step 3: Cross multiply
    1,964.23x = 2,710.64 × 1,080.02
  4. Step 4: Simplify right side
    1,964.23x = 2,927,545.41
  5. Step 5: Solve for x
    x = 2,927,545.41/1,964.23
  6. Step 6: Final answer
    x = 1,490.43

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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.