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Finding the Fourth Proportional to 2,376.34, 3,564.47 and 644.96

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Solution

The fourth proportional to 2,376.34, 3,564.47 and 644.96 is: 967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.34 : 3,564.47 = 644.96 : x
  2. Step 2: Convert to fraction form
    2,376.34/3,564.47 = 644.96/x
  3. Step 3: Cross multiply
    2,376.34x = 3,564.47 × 644.96
  4. Step 4: Simplify right side
    2,376.34x = 2,298,951.09
  5. Step 5: Solve for x
    x = 2,298,951.09/2,376.34
  6. Step 6: Final answer
    x = 967.43

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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.