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Finding the Fourth Proportional to 1,954.16, 2,701.86 and 1,610.72

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Solution

The fourth proportional to 1,954.16, 2,701.86 and 1,610.72 is: 2,227.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.16 : 2,701.86 = 1,610.72 : x
  2. Step 2: Convert to fraction form
    1,954.16/2,701.86 = 1,610.72/x
  3. Step 3: Cross multiply
    1,954.16x = 2,701.86 × 1,610.72
  4. Step 4: Simplify right side
    1,954.16x = 4,351,939.94
  5. Step 5: Solve for x
    x = 4,351,939.94/1,954.16
  6. Step 6: Final answer
    x = 2,227.01

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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.