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Finding the Fourth Proportional to 3,031.83, 4,543.52 and 1,696.41

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Solution

The fourth proportional to 3,031.83, 4,543.52 and 1,696.41 is: 2,542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.83 : 4,543.52 = 1,696.41 : x
  2. Step 2: Convert to fraction form
    3,031.83/4,543.52 = 1,696.41/x
  3. Step 3: Cross multiply
    3,031.83x = 4,543.52 × 1,696.41
  4. Step 4: Simplify right side
    3,031.83x = 7,707,672.76
  5. Step 5: Solve for x
    x = 7,707,672.76/3,031.83
  6. Step 6: Final answer
    x = 2,542.25

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