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Finding the Fourth Proportional to 2,031.14, 3,045.62 and 644.10

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Solution

The fourth proportional to 2,031.14, 3,045.62 and 644.10 is: 965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.14 : 3,045.62 = 644.10 : x
  2. Step 2: Convert to fraction form
    2,031.14/3,045.62 = 644.10/x
  3. Step 3: Cross multiply
    2,031.14x = 3,045.62 × 644.10
  4. Step 4: Simplify right side
    2,031.14x = 1,961,680.62
  5. Step 5: Solve for x
    x = 1,961,680.62/2,031.14
  6. Step 6: Final answer
    x = 965.81

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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.