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Finding the Fourth Proportional to 2,309.52, 3,464.54 and 1,010.82

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Solution

The fourth proportional to 2,309.52, 3,464.54 and 1,010.82 is: 1,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.52 : 3,464.54 = 1,010.82 : x
  2. Step 2: Convert to fraction form
    2,309.52/3,464.54 = 1,010.82/x
  3. Step 3: Cross multiply
    2,309.52x = 3,464.54 × 1,010.82
  4. Step 4: Simplify right side
    2,309.52x = 3,502,026.32
  5. Step 5: Solve for x
    x = 3,502,026.32/2,309.52
  6. Step 6: Final answer
    x = 1,516.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.