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Finding the Fourth Proportional to 3,048.90, 4,207.23 and 1,722.84

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Solution

The fourth proportional to 3,048.90, 4,207.23 and 1,722.84 is: 2,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.90 : 4,207.23 = 1,722.84 : x
  2. Step 2: Convert to fraction form
    3,048.90/4,207.23 = 1,722.84/x
  3. Step 3: Cross multiply
    3,048.90x = 4,207.23 × 1,722.84
  4. Step 4: Simplify right side
    3,048.90x = 7,248,384.13
  5. Step 5: Solve for x
    x = 7,248,384.13/3,048.90
  6. Step 6: Final answer
    x = 2,377.38

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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.