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Finding the Fourth Proportional to 2,962.96, 4,088.74 and 1,636.65

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Solution

The fourth proportional to 2,962.96, 4,088.74 and 1,636.65 is: 2,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.96 : 4,088.74 = 1,636.65 : x
  2. Step 2: Convert to fraction form
    2,962.96/4,088.74 = 1,636.65/x
  3. Step 3: Cross multiply
    2,962.96x = 4,088.74 × 1,636.65
  4. Step 4: Simplify right side
    2,962.96x = 6,691,836.32
  5. Step 5: Solve for x
    x = 6,691,836.32/2,962.96
  6. Step 6: Final answer
    x = 2,258.50

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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.