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Finding the Fourth Proportional to 3,048.63, 4,207.40 and 1,853.34

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Solution

The fourth proportional to 3,048.63, 4,207.40 and 1,853.34 is: 2,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.63 : 4,207.40 = 1,853.34 : x
  2. Step 2: Convert to fraction form
    3,048.63/4,207.40 = 1,853.34/x
  3. Step 3: Cross multiply
    3,048.63x = 4,207.40 × 1,853.34
  4. Step 4: Simplify right side
    3,048.63x = 7,797,733.45
  5. Step 5: Solve for x
    x = 7,797,733.45/3,048.63
  6. Step 6: Final answer
    x = 2,557.78

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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.