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Finding the Fourth Proportional to 3,048.48, 4,207.12 and 2,264.80

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Solution

The fourth proportional to 3,048.48, 4,207.12 and 2,264.80 is: 3,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.48 : 4,207.12 = 2,264.80 : x
  2. Step 2: Convert to fraction form
    3,048.48/4,207.12 = 2,264.80/x
  3. Step 3: Cross multiply
    3,048.48x = 4,207.12 × 2,264.80
  4. Step 4: Simplify right side
    3,048.48x = 9,528,285.38
  5. Step 5: Solve for x
    x = 9,528,285.38/3,048.48
  6. Step 6: Final answer
    x = 3,125.59

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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.