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Finding the Fourth Proportional to 1,426.92, 2,140.08 and 549.14

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Solution

The fourth proportional to 1,426.92, 2,140.08 and 549.14 is: 823.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.92 : 2,140.08 = 549.14 : x
  2. Step 2: Convert to fraction form
    1,426.92/2,140.08 = 549.14/x
  3. Step 3: Cross multiply
    1,426.92x = 2,140.08 × 549.14
  4. Step 4: Simplify right side
    1,426.92x = 1,175,203.53
  5. Step 5: Solve for x
    x = 1,175,203.53/1,426.92
  6. Step 6: Final answer
    x = 823.59

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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.