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Finding the Fourth Proportional to 2,309.23, 3,464.12 and 666.04

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Solution

The fourth proportional to 2,309.23, 3,464.12 and 666.04 is: 999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.23 : 3,464.12 = 666.04 : x
  2. Step 2: Convert to fraction form
    2,309.23/3,464.12 = 666.04/x
  3. Step 3: Cross multiply
    2,309.23x = 3,464.12 × 666.04
  4. Step 4: Simplify right side
    2,309.23x = 2,307,242.48
  5. Step 5: Solve for x
    x = 2,307,242.48/2,309.23
  6. Step 6: Final answer
    x = 999.14

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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.