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Finding the Fourth Proportional to 2,308, 3,464.64 and 1,214.56

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Solution

The fourth proportional to 2,308, 3,464.64 and 1,214.56 is: 1,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308 : 3,464.64 = 1,214.56 : x
  2. Step 2: Convert to fraction form
    2,308/3,464.64 = 1,214.56/x
  3. Step 3: Cross multiply
    2,308x = 3,464.64 × 1,214.56
  4. Step 4: Simplify right side
    2,308x = 4,208,013.16
  5. Step 5: Solve for x
    x = 4,208,013.16/2,308
  6. Step 6: Final answer
    x = 1,823.23

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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.