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Finding the Fourth Proportional to 1,426.96, 2,140.67 and 549.43

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Solution

The fourth proportional to 1,426.96, 2,140.67 and 549.43 is: 824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.96 : 2,140.67 = 549.43 : x
  2. Step 2: Convert to fraction form
    1,426.96/2,140.67 = 549.43/x
  3. Step 3: Cross multiply
    1,426.96x = 2,140.67 × 549.43
  4. Step 4: Simplify right side
    1,426.96x = 1,176,148.32
  5. Step 5: Solve for x
    x = 1,176,148.32/1,426.96
  6. Step 6: Final answer
    x = 824.23

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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.