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Finding the Fourth Proportional to 2,031.76, 3,047.64 and 716.49

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Solution

The fourth proportional to 2,031.76, 3,047.64 and 716.49 is: 1,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.76 : 3,047.64 = 716.49 : x
  2. Step 2: Convert to fraction form
    2,031.76/3,047.64 = 716.49/x
  3. Step 3: Cross multiply
    2,031.76x = 3,047.64 × 716.49
  4. Step 4: Simplify right side
    2,031.76x = 2,183,603.58
  5. Step 5: Solve for x
    x = 2,183,603.58/2,031.76
  6. Step 6: Final answer
    x = 1,074.74

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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.