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Finding the Fourth Proportional to 1,298.58, 1,938.46 and 1,202.23

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Solution

The fourth proportional to 1,298.58, 1,938.46 and 1,202.23 is: 1,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.58 : 1,938.46 = 1,202.23 : x
  2. Step 2: Convert to fraction form
    1,298.58/1,938.46 = 1,202.23/x
  3. Step 3: Cross multiply
    1,298.58x = 1,938.46 × 1,202.23
  4. Step 4: Simplify right side
    1,298.58x = 2,330,466.91
  5. Step 5: Solve for x
    x = 2,330,466.91/1,298.58
  6. Step 6: Final answer
    x = 1,794.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.