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Finding the Fourth Proportional to 3,031.53, 4,543.35 and 1,384.44

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Solution

The fourth proportional to 3,031.53, 4,543.35 and 1,384.44 is: 2,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.53 : 4,543.35 = 1,384.44 : x
  2. Step 2: Convert to fraction form
    3,031.53/4,543.35 = 1,384.44/x
  3. Step 3: Cross multiply
    3,031.53x = 4,543.35 × 1,384.44
  4. Step 4: Simplify right side
    3,031.53x = 6,289,972.76
  5. Step 5: Solve for x
    x = 6,289,972.76/3,031.53
  6. Step 6: Final answer
    x = 2,074.85

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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.