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Finding the Fourth Proportional to 2,967.09, 4,094.63 and 1,640.77

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Solution

The fourth proportional to 2,967.09, 4,094.63 and 1,640.77 is: 2,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.09 : 4,094.63 = 1,640.77 : x
  2. Step 2: Convert to fraction form
    2,967.09/4,094.63 = 1,640.77/x
  3. Step 3: Cross multiply
    2,967.09x = 4,094.63 × 1,640.77
  4. Step 4: Simplify right side
    2,967.09x = 6,718,346.07
  5. Step 5: Solve for x
    x = 6,718,346.07/2,967.09
  6. Step 6: Final answer
    x = 2,264.29

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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.