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Finding the Fourth Proportional to 2,137.53, 2,949.28 and 1,298.21

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Solution

The fourth proportional to 2,137.53, 2,949.28 and 1,298.21 is: 1,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.53 : 2,949.28 = 1,298.21 : x
  2. Step 2: Convert to fraction form
    2,137.53/2,949.28 = 1,298.21/x
  3. Step 3: Cross multiply
    2,137.53x = 2,949.28 × 1,298.21
  4. Step 4: Simplify right side
    2,137.53x = 3,828,784.79
  5. Step 5: Solve for x
    x = 3,828,784.79/2,137.53
  6. Step 6: Final answer
    x = 1,791.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.