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Finding the Fourth Proportional to 1,424.46, 2,136.18 and 547.02

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Solution

The fourth proportional to 1,424.46, 2,136.18 and 547.02 is: 820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.46 : 2,136.18 = 547.02 : x
  2. Step 2: Convert to fraction form
    1,424.46/2,136.18 = 547.02/x
  3. Step 3: Cross multiply
    1,424.46x = 2,136.18 × 547.02
  4. Step 4: Simplify right side
    1,424.46x = 1,168,533.18
  5. Step 5: Solve for x
    x = 1,168,533.18/1,424.46
  6. Step 6: Final answer
    x = 820.33

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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.