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Finding the Fourth Proportional to 2,961.59, 4,088.74 and 1,968.93

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Solution

The fourth proportional to 2,961.59, 4,088.74 and 1,968.93 is: 2,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.59 : 4,088.74 = 1,968.93 : x
  2. Step 2: Convert to fraction form
    2,961.59/4,088.74 = 1,968.93/x
  3. Step 3: Cross multiply
    2,961.59x = 4,088.74 × 1,968.93
  4. Step 4: Simplify right side
    2,961.59x = 8,050,455.89
  5. Step 5: Solve for x
    x = 8,050,455.89/2,961.59
  6. Step 6: Final answer
    x = 2,718.29

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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.