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Finding the Fourth Proportional to 1,219.48, 1,826.92 and 602.46

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Solution

The fourth proportional to 1,219.48, 1,826.92 and 602.46 is: 902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.48 : 1,826.92 = 602.46 : x
  2. Step 2: Convert to fraction form
    1,219.48/1,826.92 = 602.46/x
  3. Step 3: Cross multiply
    1,219.48x = 1,826.92 × 602.46
  4. Step 4: Simplify right side
    1,219.48x = 1,100,646.22
  5. Step 5: Solve for x
    x = 1,100,646.22/1,219.48
  6. Step 6: Final answer
    x = 902.55

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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.