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Finding the Fourth Proportional to 2,945.02, 4,064.10 and 1,618.64

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Solution

The fourth proportional to 2,945.02, 4,064.10 and 1,618.64 is: 2,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.02 : 4,064.10 = 1,618.64 : x
  2. Step 2: Convert to fraction form
    2,945.02/4,064.10 = 1,618.64/x
  3. Step 3: Cross multiply
    2,945.02x = 4,064.10 × 1,618.64
  4. Step 4: Simplify right side
    2,945.02x = 6,578,314.82
  5. Step 5: Solve for x
    x = 6,578,314.82/2,945.02
  6. Step 6: Final answer
    x = 2,233.71

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Why These Related Problems?

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