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Finding the Fourth Proportional to 1,424.61, 2,135.99 and 936.18

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Solution

The fourth proportional to 1,424.61, 2,135.99 and 936.18 is: 1,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.61 : 2,135.99 = 936.18 : x
  2. Step 2: Convert to fraction form
    1,424.61/2,135.99 = 936.18/x
  3. Step 3: Cross multiply
    1,424.61x = 2,135.99 × 936.18
  4. Step 4: Simplify right side
    1,424.61x = 1,999,673.46
  5. Step 5: Solve for x
    x = 1,999,673.46/1,424.61
  6. Step 6: Final answer
    x = 1,403.66

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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.