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Finding the Fourth Proportional to 2,119.68, 3,176.64 and 1,094.40

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Solution

The fourth proportional to 2,119.68, 3,176.64 and 1,094.40 is: 1,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.68 : 3,176.64 = 1,094.40 : x
  2. Step 2: Convert to fraction form
    2,119.68/3,176.64 = 1,094.40/x
  3. Step 3: Cross multiply
    2,119.68x = 3,176.64 × 1,094.40
  4. Step 4: Simplify right side
    2,119.68x = 3,476,514.82
  5. Step 5: Solve for x
    x = 3,476,514.82/2,119.68
  6. Step 6: Final answer
    x = 1,640.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.