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Finding the Fourth Proportional to 2,962.72, 4,088.50 and 1,636.55

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Solution

The fourth proportional to 2,962.72, 4,088.50 and 1,636.55 is: 2,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.72 : 4,088.50 = 1,636.55 : x
  2. Step 2: Convert to fraction form
    2,962.72/4,088.50 = 1,636.55/x
  3. Step 3: Cross multiply
    2,962.72x = 4,088.50 × 1,636.55
  4. Step 4: Simplify right side
    2,962.72x = 6,691,010.14
  5. Step 5: Solve for x
    x = 6,691,010.14/2,962.72
  6. Step 6: Final answer
    x = 2,258.40

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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.