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Finding the Fourth Proportional to 2,094.96, 2,891.08 and 1,210.74

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Solution

The fourth proportional to 2,094.96, 2,891.08 and 1,210.74 is: 1,670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.96 : 2,891.08 = 1,210.74 : x
  2. Step 2: Convert to fraction form
    2,094.96/2,891.08 = 1,210.74/x
  3. Step 3: Cross multiply
    2,094.96x = 2,891.08 × 1,210.74
  4. Step 4: Simplify right side
    2,094.96x = 3,500,346.20
  5. Step 5: Solve for x
    x = 3,500,346.20/2,094.96
  6. Step 6: Final answer
    x = 1,670.84

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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.