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Finding the Fourth Proportional to 2,031.24, 3,047.16 and 644.24

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Solution

The fourth proportional to 2,031.24, 3,047.16 and 644.24 is: 966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.24 : 3,047.16 = 644.24 : x
  2. Step 2: Convert to fraction form
    2,031.24/3,047.16 = 644.24/x
  3. Step 3: Cross multiply
    2,031.24x = 3,047.16 × 644.24
  4. Step 4: Simplify right side
    2,031.24x = 1,963,102.36
  5. Step 5: Solve for x
    x = 1,963,102.36/2,031.24
  6. Step 6: Final answer
    x = 966.46

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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.