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Finding the Fourth Proportional to 3,072.10, 4,608.15 and 1,840.90

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Solution

The fourth proportional to 3,072.10, 4,608.15 and 1,840.90 is: 2,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.10 : 4,608.15 = 1,840.90 : x
  2. Step 2: Convert to fraction form
    3,072.10/4,608.15 = 1,840.90/x
  3. Step 3: Cross multiply
    3,072.10x = 4,608.15 × 1,840.90
  4. Step 4: Simplify right side
    3,072.10x = 8,483,143.34
  5. Step 5: Solve for x
    x = 8,483,143.34/3,072.10
  6. Step 6: Final answer
    x = 2,761.35

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1.5x scale

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.