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Finding the Fourth Proportional to 2,900.69, 4,001.99 and 1,641.62

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Solution

The fourth proportional to 2,900.69, 4,001.99 and 1,641.62 is: 2,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.69 : 4,001.99 = 1,641.62 : x
  2. Step 2: Convert to fraction form
    2,900.69/4,001.99 = 1,641.62/x
  3. Step 3: Cross multiply
    2,900.69x = 4,001.99 × 1,641.62
  4. Step 4: Simplify right side
    2,900.69x = 6,569,718.61
  5. Step 5: Solve for x
    x = 6,569,718.61/2,900.69
  6. Step 6: Final answer
    x = 2,264.88

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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.