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Finding the Fourth Proportional to 4,015.58, 6,024.58 and 1,822.50

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Solution

The fourth proportional to 4,015.58, 6,024.58 and 1,822.50 is: 2,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,015.58 : 6,024.58 = 1,822.50 : x
  2. Step 2: Convert to fraction form
    4,015.58/6,024.58 = 1,822.50/x
  3. Step 3: Cross multiply
    4,015.58x = 6,024.58 × 1,822.50
  4. Step 4: Simplify right side
    4,015.58x = 10,979,792.49
  5. Step 5: Solve for x
    x = 10,979,792.49/4,015.58
  6. Step 6: Final answer
    x = 2,734.30

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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.