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Finding the Fourth Proportional to 1,402.39, 1,936.11 and 930.93

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Solution

The fourth proportional to 1,402.39, 1,936.11 and 930.93 is: 1,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.39 : 1,936.11 = 930.93 : x
  2. Step 2: Convert to fraction form
    1,402.39/1,936.11 = 930.93/x
  3. Step 3: Cross multiply
    1,402.39x = 1,936.11 × 930.93
  4. Step 4: Simplify right side
    1,402.39x = 1,802,382.88
  5. Step 5: Solve for x
    x = 1,802,382.88/1,402.39
  6. Step 6: Final answer
    x = 1,285.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.