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Finding the Fourth Proportional to 1,424.17, 2,135.39 and 693.01

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Solution

The fourth proportional to 1,424.17, 2,135.39 and 693.01 is: 1,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.17 : 2,135.39 = 693.01 : x
  2. Step 2: Convert to fraction form
    1,424.17/2,135.39 = 693.01/x
  3. Step 3: Cross multiply
    1,424.17x = 2,135.39 × 693.01
  4. Step 4: Simplify right side
    1,424.17x = 1,479,832.48
  5. Step 5: Solve for x
    x = 1,479,832.48/1,424.17
  6. Step 6: Final answer
    x = 1,039.09

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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.