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Finding the Fourth Proportional to 2,031.17, 3,046.15 and 644.45

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Solution

The fourth proportional to 2,031.17, 3,046.15 and 644.45 is: 966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.17 : 3,046.15 = 644.45 : x
  2. Step 2: Convert to fraction form
    2,031.17/3,046.15 = 644.45/x
  3. Step 3: Cross multiply
    2,031.17x = 3,046.15 × 644.45
  4. Step 4: Simplify right side
    2,031.17x = 1,963,088.15
  5. Step 5: Solve for x
    x = 1,963,088.15/2,031.17
  6. Step 6: Final answer
    x = 966.48

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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.