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Finding the Fourth Proportional to 3,302.66, 4,558.50 and 2,242.22

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Solution

The fourth proportional to 3,302.66, 4,558.50 and 2,242.22 is: 3,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.66 : 4,558.50 = 2,242.22 : x
  2. Step 2: Convert to fraction form
    3,302.66/4,558.50 = 2,242.22/x
  3. Step 3: Cross multiply
    3,302.66x = 4,558.50 × 2,242.22
  4. Step 4: Simplify right side
    3,302.66x = 10,221,159.87
  5. Step 5: Solve for x
    x = 10,221,159.87/3,302.66
  6. Step 6: Final answer
    x = 3,094.83

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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.