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Finding the Fourth Proportional to 1,664.79, 2,299.46 and 1,247.01

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Solution

The fourth proportional to 1,664.79, 2,299.46 and 1,247.01 is: 1,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.79 : 2,299.46 = 1,247.01 : x
  2. Step 2: Convert to fraction form
    1,664.79/2,299.46 = 1,247.01/x
  3. Step 3: Cross multiply
    1,664.79x = 2,299.46 × 1,247.01
  4. Step 4: Simplify right side
    1,664.79x = 2,867,443.38
  5. Step 5: Solve for x
    x = 2,867,443.38/1,664.79
  6. Step 6: Final answer
    x = 1,722.41

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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.