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Finding the Fourth Proportional to 2,204.75, 3,319.16 and 2,011.00

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Solution

The fourth proportional to 2,204.75, 3,319.16 and 2,011.00 is: 3,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.75 : 3,319.16 = 2,011.00 : x
  2. Step 2: Convert to fraction form
    2,204.75/3,319.16 = 2,011.00/x
  3. Step 3: Cross multiply
    2,204.75x = 3,319.16 × 2,011.00
  4. Step 4: Simplify right side
    2,204.75x = 6,674,818.63
  5. Step 5: Solve for x
    x = 6,674,818.63/2,204.75
  6. Step 6: Final answer
    x = 3,027.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.