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Finding the Fourth Proportional to 2,094.42, 2,890.17 and 1,210.08

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Solution

The fourth proportional to 2,094.42, 2,890.17 and 1,210.08 is: 1,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.42 : 2,890.17 = 1,210.08 : x
  2. Step 2: Convert to fraction form
    2,094.42/2,890.17 = 1,210.08/x
  3. Step 3: Cross multiply
    2,094.42x = 2,890.17 × 1,210.08
  4. Step 4: Simplify right side
    2,094.42x = 3,497,336.91
  5. Step 5: Solve for x
    x = 3,497,336.91/2,094.42
  6. Step 6: Final answer
    x = 1,669.84

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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.