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Finding the Fourth Proportional to 2,508.87, 3,764.13 and 1,048.44

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Solution

The fourth proportional to 2,508.87, 3,764.13 and 1,048.44 is: 1,573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.87 : 3,764.13 = 1,048.44 : x
  2. Step 2: Convert to fraction form
    2,508.87/3,764.13 = 1,048.44/x
  3. Step 3: Cross multiply
    2,508.87x = 3,764.13 × 1,048.44
  4. Step 4: Simplify right side
    2,508.87x = 3,946,464.46
  5. Step 5: Solve for x
    x = 3,946,464.46/2,508.87
  6. Step 6: Final answer
    x = 1,573.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.