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Finding the Fourth Proportional to 3,151.57, 4,725.74 and 1,419.25

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Solution

The fourth proportional to 3,151.57, 4,725.74 and 1,419.25 is: 2,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.57 : 4,725.74 = 1,419.25 : x
  2. Step 2: Convert to fraction form
    3,151.57/4,725.74 = 1,419.25/x
  3. Step 3: Cross multiply
    3,151.57x = 4,725.74 × 1,419.25
  4. Step 4: Simplify right side
    3,151.57x = 6,706,999.40
  5. Step 5: Solve for x
    x = 6,706,999.40/3,151.57
  6. Step 6: Final answer
    x = 2,128.15

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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.