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Finding the Fourth Proportional to 2,309.67, 3,464.53 and 578.30

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Solution

The fourth proportional to 2,309.67, 3,464.53 and 578.30 is: 867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.67 : 3,464.53 = 578.30 : x
  2. Step 2: Convert to fraction form
    2,309.67/3,464.53 = 578.30/x
  3. Step 3: Cross multiply
    2,309.67x = 3,464.53 × 578.30
  4. Step 4: Simplify right side
    2,309.67x = 2,003,537.70
  5. Step 5: Solve for x
    x = 2,003,537.70/2,309.67
  6. Step 6: Final answer
    x = 867.46

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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.