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Finding the Fourth Proportional to 2,093.71, 3,141.93 and 1,547.26

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Solution

The fourth proportional to 2,093.71, 3,141.93 and 1,547.26 is: 2,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.71 : 3,141.93 = 1,547.26 : x
  2. Step 2: Convert to fraction form
    2,093.71/3,141.93 = 1,547.26/x
  3. Step 3: Cross multiply
    2,093.71x = 3,141.93 × 1,547.26
  4. Step 4: Simplify right side
    2,093.71x = 4,861,382.61
  5. Step 5: Solve for x
    x = 4,861,382.61/2,093.71
  6. Step 6: Final answer
    x = 2,321.90

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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.