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Finding the Fourth Proportional to 1,426.95, 2,140.66 and 452.83

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Solution

The fourth proportional to 1,426.95, 2,140.66 and 452.83 is: 679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.95 : 2,140.66 = 452.83 : x
  2. Step 2: Convert to fraction form
    1,426.95/2,140.66 = 452.83/x
  3. Step 3: Cross multiply
    1,426.95x = 2,140.66 × 452.83
  4. Step 4: Simplify right side
    1,426.95x = 969,355.07
  5. Step 5: Solve for x
    x = 969,355.07/1,426.95
  6. Step 6: Final answer
    x = 679.32

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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.