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Finding the Fourth Proportional to 2,137.89, 2,947.54 and 1,753.20

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Solution

The fourth proportional to 2,137.89, 2,947.54 and 1,753.20 is: 2,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.89 : 2,947.54 = 1,753.20 : x
  2. Step 2: Convert to fraction form
    2,137.89/2,947.54 = 1,753.20/x
  3. Step 3: Cross multiply
    2,137.89x = 2,947.54 × 1,753.20
  4. Step 4: Simplify right side
    2,137.89x = 5,167,603.62
  5. Step 5: Solve for x
    x = 5,167,603.62/2,137.89
  6. Step 6: Final answer
    x = 2,417.16

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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.