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Finding the Fourth Proportional to 2,031.58, 2,803.49 and 1,147.47

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Solution

The fourth proportional to 2,031.58, 2,803.49 and 1,147.47 is: 1,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.58 : 2,803.49 = 1,147.47 : x
  2. Step 2: Convert to fraction form
    2,031.58/2,803.49 = 1,147.47/x
  3. Step 3: Cross multiply
    2,031.58x = 2,803.49 × 1,147.47
  4. Step 4: Simplify right side
    2,031.58x = 3,216,900.92
  5. Step 5: Solve for x
    x = 3,216,900.92/2,031.58
  6. Step 6: Final answer
    x = 1,583.45

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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.