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Finding the Fourth Proportional to 2,202.54, 3,039.58 and 1,207.86

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Solution

The fourth proportional to 2,202.54, 3,039.58 and 1,207.86 is: 1,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.54 : 3,039.58 = 1,207.86 : x
  2. Step 2: Convert to fraction form
    2,202.54/3,039.58 = 1,207.86/x
  3. Step 3: Cross multiply
    2,202.54x = 3,039.58 × 1,207.86
  4. Step 4: Simplify right side
    2,202.54x = 3,671,387.51
  5. Step 5: Solve for x
    x = 3,671,387.51/2,202.54
  6. Step 6: Final answer
    x = 1,666.89

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