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Finding the Fourth Proportional to 2,963.16, 4,089.21 and 1,636.99

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Solution

The fourth proportional to 2,963.16, 4,089.21 and 1,636.99 is: 2,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.16 : 4,089.21 = 1,636.99 : x
  2. Step 2: Convert to fraction form
    2,963.16/4,089.21 = 1,636.99/x
  3. Step 3: Cross multiply
    2,963.16x = 4,089.21 × 1,636.99
  4. Step 4: Simplify right side
    2,963.16x = 6,693,985.65
  5. Step 5: Solve for x
    x = 6,693,985.65/2,963.16
  6. Step 6: Final answer
    x = 2,259.07

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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.