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Finding the Fourth Proportional to 1,223.43, 1,826.19 and 1,051.20

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Solution

The fourth proportional to 1,223.43, 1,826.19 and 1,051.20 is: 1,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.43 : 1,826.19 = 1,051.20 : x
  2. Step 2: Convert to fraction form
    1,223.43/1,826.19 = 1,051.20/x
  3. Step 3: Cross multiply
    1,223.43x = 1,826.19 × 1,051.20
  4. Step 4: Simplify right side
    1,223.43x = 1,919,690.93
  5. Step 5: Solve for x
    x = 1,919,690.93/1,223.43
  6. Step 6: Final answer
    x = 1,569.11

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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.