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Finding the Fourth Proportional to 2,375.48, 3,563.21 and 644.10

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Solution

The fourth proportional to 2,375.48, 3,563.21 and 644.10 is: 966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.48 : 3,563.21 = 644.10 : x
  2. Step 2: Convert to fraction form
    2,375.48/3,563.21 = 644.10/x
  3. Step 3: Cross multiply
    2,375.48x = 3,563.21 × 644.10
  4. Step 4: Simplify right side
    2,375.48x = 2,295,068.23
  5. Step 5: Solve for x
    x = 2,295,068.23/2,375.48
  6. Step 6: Final answer
    x = 966.15

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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.