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Finding the Fourth Proportional to 2,309.86, 3,464.77 and 666.39

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Solution

The fourth proportional to 2,309.86, 3,464.77 and 666.39 is: 999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.86 : 3,464.77 = 666.39 : x
  2. Step 2: Convert to fraction form
    2,309.86/3,464.77 = 666.39/x
  3. Step 3: Cross multiply
    2,309.86x = 3,464.77 × 666.39
  4. Step 4: Simplify right side
    2,309.86x = 2,308,888.08
  5. Step 5: Solve for x
    x = 2,308,888.08/2,309.86
  6. Step 6: Final answer
    x = 999.58

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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.