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Finding the Fourth Proportional to 2,242.23, 3,088.02 and 2,193.81

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Solution

The fourth proportional to 2,242.23, 3,088.02 and 2,193.81 is: 3,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.23 : 3,088.02 = 2,193.81 : x
  2. Step 2: Convert to fraction form
    2,242.23/3,088.02 = 2,193.81/x
  3. Step 3: Cross multiply
    2,242.23x = 3,088.02 × 2,193.81
  4. Step 4: Simplify right side
    2,242.23x = 6,774,529.16
  5. Step 5: Solve for x
    x = 6,774,529.16/2,242.23
  6. Step 6: Final answer
    x = 3,021.34

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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.