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Finding the Fourth Proportional to 2,109.61, 2,911.23 and 1,213.48

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Solution

The fourth proportional to 2,109.61, 2,911.23 and 1,213.48 is: 1,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.61 : 2,911.23 = 1,213.48 : x
  2. Step 2: Convert to fraction form
    2,109.61/2,911.23 = 1,213.48/x
  3. Step 3: Cross multiply
    2,109.61x = 2,911.23 × 1,213.48
  4. Step 4: Simplify right side
    2,109.61x = 3,532,719.38
  5. Step 5: Solve for x
    x = 3,532,719.38/2,109.61
  6. Step 6: Final answer
    x = 1,674.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.