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Finding the Fourth Proportional to 2,658.18, 4,012.24 and 2,658.18

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Solution

The fourth proportional to 2,658.18, 4,012.24 and 2,658.18 is: 4,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.18 : 4,012.24 = 2,658.18 : x
  2. Step 2: Convert to fraction form
    2,658.18/4,012.24 = 2,658.18/x
  3. Step 3: Cross multiply
    2,658.18x = 4,012.24 × 2,658.18
  4. Step 4: Simplify right side
    2,658.18x = 10,665,242.83
  5. Step 5: Solve for x
    x = 10,665,242.83/2,658.18
  6. Step 6: Final answer
    x = 4,012.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.