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Finding the Fourth Proportional to 1,424.01, 2,135.73 and 384.02

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Solution

The fourth proportional to 1,424.01, 2,135.73 and 384.02 is: 575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.01 : 2,135.73 = 384.02 : x
  2. Step 2: Convert to fraction form
    1,424.01/2,135.73 = 384.02/x
  3. Step 3: Cross multiply
    1,424.01x = 2,135.73 × 384.02
  4. Step 4: Simplify right side
    1,424.01x = 820,161.81
  5. Step 5: Solve for x
    x = 820,161.81/1,424.01
  6. Step 6: Final answer
    x = 575.95

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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.