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Finding the Fourth Proportional to 1,323.95, 1,983.89 and 1,049.36

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Solution

The fourth proportional to 1,323.95, 1,983.89 and 1,049.36 is: 1,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.95 : 1,983.89 = 1,049.36 : x
  2. Step 2: Convert to fraction form
    1,323.95/1,983.89 = 1,049.36/x
  3. Step 3: Cross multiply
    1,323.95x = 1,983.89 × 1,049.36
  4. Step 4: Simplify right side
    1,323.95x = 2,081,807.51
  5. Step 5: Solve for x
    x = 2,081,807.51/1,323.95
  6. Step 6: Final answer
    x = 1,572.43

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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.