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Finding the Fourth Proportional to 2,967.36, 4,094.92 and 1,640.98

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Solution

The fourth proportional to 2,967.36, 4,094.92 and 1,640.98 is: 2,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.36 : 4,094.92 = 1,640.98 : x
  2. Step 2: Convert to fraction form
    2,967.36/4,094.92 = 1,640.98/x
  3. Step 3: Cross multiply
    2,967.36x = 4,094.92 × 1,640.98
  4. Step 4: Simplify right side
    2,967.36x = 6,719,681.82
  5. Step 5: Solve for x
    x = 6,719,681.82/2,967.36
  6. Step 6: Final answer
    x = 2,264.53

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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.