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Finding the Fourth Proportional to 1,422.87, 2,136.29 and 730.02

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Solution

The fourth proportional to 1,422.87, 2,136.29 and 730.02 is: 1,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.87 : 2,136.29 = 730.02 : x
  2. Step 2: Convert to fraction form
    1,422.87/2,136.29 = 730.02/x
  3. Step 3: Cross multiply
    1,422.87x = 2,136.29 × 730.02
  4. Step 4: Simplify right side
    1,422.87x = 1,559,530.78
  5. Step 5: Solve for x
    x = 1,559,530.78/1,422.87
  6. Step 6: Final answer
    x = 1,096.05

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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.