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Finding the Fourth Proportional to 2,883.48, 4,324.69 and 1,009.64

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Solution

The fourth proportional to 2,883.48, 4,324.69 and 1,009.64 is: 1,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.48 : 4,324.69 = 1,009.64 : x
  2. Step 2: Convert to fraction form
    2,883.48/4,324.69 = 1,009.64/x
  3. Step 3: Cross multiply
    2,883.48x = 4,324.69 × 1,009.64
  4. Step 4: Simplify right side
    2,883.48x = 4,366,380.01
  5. Step 5: Solve for x
    x = 4,366,380.01/2,883.48
  6. Step 6: Final answer
    x = 1,514.28

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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.