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Finding the Fourth Proportional to 2,658.48, 3,989.08 and 2,013.18

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Solution

The fourth proportional to 2,658.48, 3,989.08 and 2,013.18 is: 3,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.48 : 3,989.08 = 2,013.18 : x
  2. Step 2: Convert to fraction form
    2,658.48/3,989.08 = 2,013.18/x
  3. Step 3: Cross multiply
    2,658.48x = 3,989.08 × 2,013.18
  4. Step 4: Simplify right side
    2,658.48x = 8,030,736.07
  5. Step 5: Solve for x
    x = 8,030,736.07/2,658.48
  6. Step 6: Final answer
    x = 3,020.80

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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.