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Finding the Fourth Proportional to 2,242.94, 3,365.54 and 1,366.42

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Solution

The fourth proportional to 2,242.94, 3,365.54 and 1,366.42 is: 2,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.94 : 3,365.54 = 1,366.42 : x
  2. Step 2: Convert to fraction form
    2,242.94/3,365.54 = 1,366.42/x
  3. Step 3: Cross multiply
    2,242.94x = 3,365.54 × 1,366.42
  4. Step 4: Simplify right side
    2,242.94x = 4,598,741.17
  5. Step 5: Solve for x
    x = 4,598,741.17/2,242.94
  6. Step 6: Final answer
    x = 2,050.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.