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Finding the Fourth Proportional to 1,954.01, 2,935.10 and 1,661.47

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Solution

The fourth proportional to 1,954.01, 2,935.10 and 1,661.47 is: 2,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.01 : 2,935.10 = 1,661.47 : x
  2. Step 2: Convert to fraction form
    1,954.01/2,935.10 = 1,661.47/x
  3. Step 3: Cross multiply
    1,954.01x = 2,935.10 × 1,661.47
  4. Step 4: Simplify right side
    1,954.01x = 4,876,577.41
  5. Step 5: Solve for x
    x = 4,876,577.41/1,954.01
  6. Step 6: Final answer
    x = 2,495.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.