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Finding the Fourth Proportional to 2,701.35, 3,729.58 and 2,205.18

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Solution

The fourth proportional to 2,701.35, 3,729.58 and 2,205.18 is: 3,044.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.35 : 3,729.58 = 2,205.18 : x
  2. Step 2: Convert to fraction form
    2,701.35/3,729.58 = 2,205.18/x
  3. Step 3: Cross multiply
    2,701.35x = 3,729.58 × 2,205.18
  4. Step 4: Simplify right side
    2,701.35x = 8,224,389.71
  5. Step 5: Solve for x
    x = 8,224,389.71/2,701.35
  6. Step 6: Final answer
    x = 3,044.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.