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Finding the Fourth Proportional to 3,048.42, 4,207.10 and 1,722.45

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Solution

The fourth proportional to 3,048.42, 4,207.10 and 1,722.45 is: 2,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.42 : 4,207.10 = 1,722.45 : x
  2. Step 2: Convert to fraction form
    3,048.42/4,207.10 = 1,722.45/x
  3. Step 3: Cross multiply
    3,048.42x = 4,207.10 × 1,722.45
  4. Step 4: Simplify right side
    3,048.42x = 7,246,519.40
  5. Step 5: Solve for x
    x = 7,246,519.40/3,048.42
  6. Step 6: Final answer
    x = 2,377.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.