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Finding the Fourth Proportional to 2,025.19, 3,038.53 and 855.49

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Solution

The fourth proportional to 2,025.19, 3,038.53 and 855.49 is: 1,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.19 : 3,038.53 = 855.49 : x
  2. Step 2: Convert to fraction form
    2,025.19/3,038.53 = 855.49/x
  3. Step 3: Cross multiply
    2,025.19x = 3,038.53 × 855.49
  4. Step 4: Simplify right side
    2,025.19x = 2,599,432.03
  5. Step 5: Solve for x
    x = 2,599,432.03/2,025.19
  6. Step 6: Final answer
    x = 1,283.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.