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Finding the Fourth Proportional to 2,963.03, 4,088.94 and 1,636.64

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Solution

The fourth proportional to 2,963.03, 4,088.94 and 1,636.64 is: 2,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.03 : 4,088.94 = 1,636.64 : x
  2. Step 2: Convert to fraction form
    2,963.03/4,088.94 = 1,636.64/x
  3. Step 3: Cross multiply
    2,963.03x = 4,088.94 × 1,636.64
  4. Step 4: Simplify right side
    2,963.03x = 6,692,139.12
  5. Step 5: Solve for x
    x = 6,692,139.12/2,963.03
  6. Step 6: Final answer
    x = 2,258.55

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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.