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Finding the Fourth Proportional to 2,509.39, 3,464.81 and 2,322.79

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Solution

The fourth proportional to 2,509.39, 3,464.81 and 2,322.79 is: 3,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.39 : 3,464.81 = 2,322.79 : x
  2. Step 2: Convert to fraction form
    2,509.39/3,464.81 = 2,322.79/x
  3. Step 3: Cross multiply
    2,509.39x = 3,464.81 × 2,322.79
  4. Step 4: Simplify right side
    2,509.39x = 8,048,026.02
  5. Step 5: Solve for x
    x = 8,048,026.02/2,509.39
  6. Step 6: Final answer
    x = 3,207.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.