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Finding the Fourth Proportional to 2,242.01, 3,094.23 and 1,357.80

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Solution

The fourth proportional to 2,242.01, 3,094.23 and 1,357.80 is: 1,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.01 : 3,094.23 = 1,357.80 : x
  2. Step 2: Convert to fraction form
    2,242.01/3,094.23 = 1,357.80/x
  3. Step 3: Cross multiply
    2,242.01x = 3,094.23 × 1,357.80
  4. Step 4: Simplify right side
    2,242.01x = 4,201,345.49
  5. Step 5: Solve for x
    x = 4,201,345.49/2,242.01
  6. Step 6: Final answer
    x = 1,873.92

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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.