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Finding the Fourth Proportional to 2,701.10, 4,047.03 and 1,917.22

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Solution

The fourth proportional to 2,701.10, 4,047.03 and 1,917.22 is: 2,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.10 : 4,047.03 = 1,917.22 : x
  2. Step 2: Convert to fraction form
    2,701.10/4,047.03 = 1,917.22/x
  3. Step 3: Cross multiply
    2,701.10x = 4,047.03 × 1,917.22
  4. Step 4: Simplify right side
    2,701.10x = 7,759,041.53
  5. Step 5: Solve for x
    x = 7,759,041.53/2,701.10
  6. Step 6: Final answer
    x = 2,872.55

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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.