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Finding the Fourth Proportional to 2,658.79, 3,669.13 and 1,463.79

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Solution

The fourth proportional to 2,658.79, 3,669.13 and 1,463.79 is: 2,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.79 : 3,669.13 = 1,463.79 : x
  2. Step 2: Convert to fraction form
    2,658.79/3,669.13 = 1,463.79/x
  3. Step 3: Cross multiply
    2,658.79x = 3,669.13 × 1,463.79
  4. Step 4: Simplify right side
    2,658.79x = 5,370,830.75
  5. Step 5: Solve for x
    x = 5,370,830.75/2,658.79
  6. Step 6: Final answer
    x = 2,020.03

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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.