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Finding the Fourth Proportional to 2,809.18, 4,213.86 and 1,054.00

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Solution

The fourth proportional to 2,809.18, 4,213.86 and 1,054.00 is: 1,581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.18 : 4,213.86 = 1,054.00 : x
  2. Step 2: Convert to fraction form
    2,809.18/4,213.86 = 1,054.00/x
  3. Step 3: Cross multiply
    2,809.18x = 4,213.86 × 1,054.00
  4. Step 4: Simplify right side
    2,809.18x = 4,441,387.37
  5. Step 5: Solve for x
    x = 4,441,387.37/2,809.18
  6. Step 6: Final answer
    x = 1,581.03

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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.