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Finding the Fourth Proportional to 2,242.13, 3,094.13 and 1,247.40

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Solution

The fourth proportional to 2,242.13, 3,094.13 and 1,247.40 is: 1,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.13 : 3,094.13 = 1,247.40 : x
  2. Step 2: Convert to fraction form
    2,242.13/3,094.13 = 1,247.40/x
  3. Step 3: Cross multiply
    2,242.13x = 3,094.13 × 1,247.40
  4. Step 4: Simplify right side
    2,242.13x = 3,859,638.11
  5. Step 5: Solve for x
    x = 3,859,638.11/2,242.13
  6. Step 6: Final answer
    x = 1,721.42

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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.