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Finding the Fourth Proportional to 2,379.79, 3,569.26 and 648.01

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Solution

The fourth proportional to 2,379.79, 3,569.26 and 648.01 is: 971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.79 : 3,569.26 = 648.01 : x
  2. Step 2: Convert to fraction form
    2,379.79/3,569.26 = 648.01/x
  3. Step 3: Cross multiply
    2,379.79x = 3,569.26 × 648.01
  4. Step 4: Simplify right side
    2,379.79x = 2,312,912.93
  5. Step 5: Solve for x
    x = 2,312,912.93/2,379.79
  6. Step 6: Final answer
    x = 971.90

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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.