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Finding the Fourth Proportional to 2,985.34, 4,119.84 and 1,641

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Solution

The fourth proportional to 2,985.34, 4,119.84 and 1,641 is: 2,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.34 : 4,119.84 = 1,641 : x
  2. Step 2: Convert to fraction form
    2,985.34/4,119.84 = 1,641/x
  3. Step 3: Cross multiply
    2,985.34x = 4,119.84 × 1,641
  4. Step 4: Simplify right side
    2,985.34x = 6,760,657.44
  5. Step 5: Solve for x
    x = 6,760,657.44/2,985.34
  6. Step 6: Final answer
    x = 2,264.62

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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.