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Finding the Fourth Proportional to 2,379.08, 3,568.62 and 647.96

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Solution

The fourth proportional to 2,379.08, 3,568.62 and 647.96 is: 971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.08 : 3,568.62 = 647.96 : x
  2. Step 2: Convert to fraction form
    2,379.08/3,568.62 = 647.96/x
  3. Step 3: Cross multiply
    2,379.08x = 3,568.62 × 647.96
  4. Step 4: Simplify right side
    2,379.08x = 2,312,323.02
  5. Step 5: Solve for x
    x = 2,312,323.02/2,379.08
  6. Step 6: Final answer
    x = 971.94

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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.