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Finding the Fourth Proportional to 1,323.80, 1,822.69 and 1,124.21

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Solution

The fourth proportional to 1,323.80, 1,822.69 and 1,124.21 is: 1,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.80 : 1,822.69 = 1,124.21 : x
  2. Step 2: Convert to fraction form
    1,323.80/1,822.69 = 1,124.21/x
  3. Step 3: Cross multiply
    1,323.80x = 1,822.69 × 1,124.21
  4. Step 4: Simplify right side
    1,323.80x = 2,049,086.32
  5. Step 5: Solve for x
    x = 2,049,086.32/1,323.80
  6. Step 6: Final answer
    x = 1,547.88

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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.