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Finding the Fourth Proportional to 3,143.07, 4,715.01 and 1,195.02

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Solution

The fourth proportional to 3,143.07, 4,715.01 and 1,195.02 is: 1,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.07 : 4,715.01 = 1,195.02 : x
  2. Step 2: Convert to fraction form
    3,143.07/4,715.01 = 1,195.02/x
  3. Step 3: Cross multiply
    3,143.07x = 4,715.01 × 1,195.02
  4. Step 4: Simplify right side
    3,143.07x = 5,634,531.25
  5. Step 5: Solve for x
    x = 5,634,531.25/3,143.07
  6. Step 6: Final answer
    x = 1,792.68

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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.