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Finding the Fourth Proportional to 2,937.76, 4,402.51 and 2,112.14

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Solution

The fourth proportional to 2,937.76, 4,402.51 and 2,112.14 is: 3,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.76 : 4,402.51 = 2,112.14 : x
  2. Step 2: Convert to fraction form
    2,937.76/4,402.51 = 2,112.14/x
  3. Step 3: Cross multiply
    2,937.76x = 4,402.51 × 2,112.14
  4. Step 4: Simplify right side
    2,937.76x = 9,298,717.47
  5. Step 5: Solve for x
    x = 9,298,717.47/2,937.76
  6. Step 6: Final answer
    x = 3,165.24

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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.