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Finding the Fourth Proportional to 2,111.48, 3,167.21 and 941.18

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Solution

The fourth proportional to 2,111.48, 3,167.21 and 941.18 is: 1,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.48 : 3,167.21 = 941.18 : x
  2. Step 2: Convert to fraction form
    2,111.48/3,167.21 = 941.18/x
  3. Step 3: Cross multiply
    2,111.48x = 3,167.21 × 941.18
  4. Step 4: Simplify right side
    2,111.48x = 2,980,914.71
  5. Step 5: Solve for x
    x = 2,980,914.71/2,111.48
  6. Step 6: Final answer
    x = 1,411.77

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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.