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Finding the Fourth Proportional to 2,801.74, 4,205.20 and 1,416.04

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Solution

The fourth proportional to 2,801.74, 4,205.20 and 1,416.04 is: 2,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.74 : 4,205.20 = 1,416.04 : x
  2. Step 2: Convert to fraction form
    2,801.74/4,205.20 = 1,416.04/x
  3. Step 3: Cross multiply
    2,801.74x = 4,205.20 × 1,416.04
  4. Step 4: Simplify right side
    2,801.74x = 5,954,731.41
  5. Step 5: Solve for x
    x = 5,954,731.41/2,801.74
  6. Step 6: Final answer
    x = 2,125.37

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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.