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Finding the Fourth Proportional to 1,225.29, 1,826.95 and 1,203.42

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Solution

The fourth proportional to 1,225.29, 1,826.95 and 1,203.42 is: 1,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.29 : 1,826.95 = 1,203.42 : x
  2. Step 2: Convert to fraction form
    1,225.29/1,826.95 = 1,203.42/x
  3. Step 3: Cross multiply
    1,225.29x = 1,826.95 × 1,203.42
  4. Step 4: Simplify right side
    1,225.29x = 2,198,585.16
  5. Step 5: Solve for x
    x = 2,198,585.16/1,225.29
  6. Step 6: Final answer
    x = 1,794.34

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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.