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Finding the Fourth Proportional to 1,665.14, 2,297.90 and 1,002.14

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Solution

The fourth proportional to 1,665.14, 2,297.90 and 1,002.14 is: 1,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.14 : 2,297.90 = 1,002.14 : x
  2. Step 2: Convert to fraction form
    1,665.14/2,297.90 = 1,002.14/x
  3. Step 3: Cross multiply
    1,665.14x = 2,297.90 × 1,002.14
  4. Step 4: Simplify right side
    1,665.14x = 2,302,817.51
  5. Step 5: Solve for x
    x = 2,302,817.51/1,665.14
  6. Step 6: Final answer
    x = 1,382.96

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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.