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Finding the Fourth Proportional to 2,658.94, 3,669.34 and 1,480.01

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Solution

The fourth proportional to 2,658.94, 3,669.34 and 1,480.01 is: 2,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.94 : 3,669.34 = 1,480.01 : x
  2. Step 2: Convert to fraction form
    2,658.94/3,669.34 = 1,480.01/x
  3. Step 3: Cross multiply
    2,658.94x = 3,669.34 × 1,480.01
  4. Step 4: Simplify right side
    2,658.94x = 5,430,652.49
  5. Step 5: Solve for x
    x = 5,430,652.49/2,658.94
  6. Step 6: Final answer
    x = 2,042.41

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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.