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Finding the Fourth Proportional to 2,883.12, 4,323.48 and 2,005.26

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Solution

The fourth proportional to 2,883.12, 4,323.48 and 2,005.26 is: 3,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.12 : 4,323.48 = 2,005.26 : x
  2. Step 2: Convert to fraction form
    2,883.12/4,323.48 = 2,005.26/x
  3. Step 3: Cross multiply
    2,883.12x = 4,323.48 × 2,005.26
  4. Step 4: Simplify right side
    2,883.12x = 8,669,701.50
  5. Step 5: Solve for x
    x = 8,669,701.50/2,883.12
  6. Step 6: Final answer
    x = 3,007.06

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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.