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Finding the Fourth Proportional to 2,242.55, 3,364.52 and 1,202.51

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Solution

The fourth proportional to 2,242.55, 3,364.52 and 1,202.51 is: 1,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.55 : 3,364.52 = 1,202.51 : x
  2. Step 2: Convert to fraction form
    2,242.55/3,364.52 = 1,202.51/x
  3. Step 3: Cross multiply
    2,242.55x = 3,364.52 × 1,202.51
  4. Step 4: Simplify right side
    2,242.55x = 4,045,871.34
  5. Step 5: Solve for x
    x = 4,045,871.34/2,242.55
  6. Step 6: Final answer
    x = 1,804.14

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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.