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Finding the Fourth Proportional to 1,664.14, 2,496.87 and 933.62

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Solution

The fourth proportional to 1,664.14, 2,496.87 and 933.62 is: 1,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.14 : 2,496.87 = 933.62 : x
  2. Step 2: Convert to fraction form
    1,664.14/2,496.87 = 933.62/x
  3. Step 3: Cross multiply
    1,664.14x = 2,496.87 × 933.62
  4. Step 4: Simplify right side
    1,664.14x = 2,331,123.10
  5. Step 5: Solve for x
    x = 2,331,123.10/1,664.14
  6. Step 6: Final answer
    x = 1,400.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.