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Finding the Fourth Proportional to 2,262.02, 3,390.26 and 1,029.10

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Solution

The fourth proportional to 2,262.02, 3,390.26 and 1,029.10 is: 1,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.02 : 3,390.26 = 1,029.10 : x
  2. Step 2: Convert to fraction form
    2,262.02/3,390.26 = 1,029.10/x
  3. Step 3: Cross multiply
    2,262.02x = 3,390.26 × 1,029.10
  4. Step 4: Simplify right side
    2,262.02x = 3,488,916.57
  5. Step 5: Solve for x
    x = 3,488,916.57/2,262.02
  6. Step 6: Final answer
    x = 1,542.39

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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.