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Finding the Fourth Proportional to 1,426.42, 2,139.67 and 452.53

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Solution

The fourth proportional to 1,426.42, 2,139.67 and 452.53 is: 678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.42 : 2,139.67 = 452.53 : x
  2. Step 2: Convert to fraction form
    1,426.42/2,139.67 = 452.53/x
  3. Step 3: Cross multiply
    1,426.42x = 2,139.67 × 452.53
  4. Step 4: Simplify right side
    1,426.42x = 968,262.60
  5. Step 5: Solve for x
    x = 968,262.60/1,426.42
  6. Step 6: Final answer
    x = 678.81

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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.