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Finding the Fourth Proportional to 2,809.08, 4,213.73 and 1,053.90

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Solution

The fourth proportional to 2,809.08, 4,213.73 and 1,053.90 is: 1,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.08 : 4,213.73 = 1,053.90 : x
  2. Step 2: Convert to fraction form
    2,809.08/4,213.73 = 1,053.90/x
  3. Step 3: Cross multiply
    2,809.08x = 4,213.73 × 1,053.90
  4. Step 4: Simplify right side
    2,809.08x = 4,440,852.68
  5. Step 5: Solve for x
    x = 4,440,852.68/2,809.08
  6. Step 6: Final answer
    x = 1,580.89

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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.