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Finding the Fourth Proportional to 2,963.13, 4,089.06 and 1,636.80

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Solution

The fourth proportional to 2,963.13, 4,089.06 and 1,636.80 is: 2,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.13 : 4,089.06 = 1,636.80 : x
  2. Step 2: Convert to fraction form
    2,963.13/4,089.06 = 1,636.80/x
  3. Step 3: Cross multiply
    2,963.13x = 4,089.06 × 1,636.80
  4. Step 4: Simplify right side
    2,963.13x = 6,692,973.41
  5. Step 5: Solve for x
    x = 6,692,973.41/2,963.13
  6. Step 6: Final answer
    x = 2,258.75

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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.