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Finding the Fourth Proportional to 2,309.64, 3,464.61 and 666.20

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Solution

The fourth proportional to 2,309.64, 3,464.61 and 666.20 is: 999.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.64 : 3,464.61 = 666.20 : x
  2. Step 2: Convert to fraction form
    2,309.64/3,464.61 = 666.20/x
  3. Step 3: Cross multiply
    2,309.64x = 3,464.61 × 666.20
  4. Step 4: Simplify right side
    2,309.64x = 2,308,105.86
  5. Step 5: Solve for x
    x = 2,308,105.86/2,309.64
  6. Step 6: Final answer
    x = 999.34

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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.