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Finding the Fourth Proportional to 2,242.76, 3,094.49 and 1,358.37

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Solution

The fourth proportional to 2,242.76, 3,094.49 and 1,358.37 is: 1,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.76 : 3,094.49 = 1,358.37 : x
  2. Step 2: Convert to fraction form
    2,242.76/3,094.49 = 1,358.37/x
  3. Step 3: Cross multiply
    2,242.76x = 3,094.49 × 1,358.37
  4. Step 4: Simplify right side
    2,242.76x = 4,203,462.38
  5. Step 5: Solve for x
    x = 4,203,462.38/2,242.76
  6. Step 6: Final answer
    x = 1,874.24

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1.5x scale

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.