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Finding the Fourth Proportional to 2,031.86, 2,803.74 and 1,147.48

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Solution

The fourth proportional to 2,031.86, 2,803.74 and 1,147.48 is: 1,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.86 : 2,803.74 = 1,147.48 : x
  2. Step 2: Convert to fraction form
    2,031.86/2,803.74 = 1,147.48/x
  3. Step 3: Cross multiply
    2,031.86x = 2,803.74 × 1,147.48
  4. Step 4: Simplify right side
    2,031.86x = 3,217,235.58
  5. Step 5: Solve for x
    x = 3,217,235.58/2,031.86
  6. Step 6: Final answer
    x = 1,583.39

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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.