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Finding the Fourth Proportional to 2,379.63, 3,569.64 and 624.63

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Solution

The fourth proportional to 2,379.63, 3,569.64 and 624.63 is: 937.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.63 : 3,569.64 = 624.63 : x
  2. Step 2: Convert to fraction form
    2,379.63/3,569.64 = 624.63/x
  3. Step 3: Cross multiply
    2,379.63x = 3,569.64 × 624.63
  4. Step 4: Simplify right side
    2,379.63x = 2,229,704.23
  5. Step 5: Solve for x
    x = 2,229,704.23/2,379.63
  6. Step 6: Final answer
    x = 937.00

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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.