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Finding the Fourth Proportional to 2,025.78, 3,033.78 and 1,407.78

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Solution

The fourth proportional to 2,025.78, 3,033.78 and 1,407.78 is: 2,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.78 : 3,033.78 = 1,407.78 : x
  2. Step 2: Convert to fraction form
    2,025.78/3,033.78 = 1,407.78/x
  3. Step 3: Cross multiply
    2,025.78x = 3,033.78 × 1,407.78
  4. Step 4: Simplify right side
    2,025.78x = 4,270,894.81
  5. Step 5: Solve for x
    x = 4,270,894.81/2,025.78
  6. Step 6: Final answer
    x = 2,108.27

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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.