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Finding the Fourth Proportional to 2,730.45, 4,085.55 and 2,001.45

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Solution

The fourth proportional to 2,730.45, 4,085.55 and 2,001.45 is: 2,994.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.45 : 4,085.55 = 2,001.45 : x
  2. Step 2: Convert to fraction form
    2,730.45/4,085.55 = 2,001.45/x
  3. Step 3: Cross multiply
    2,730.45x = 4,085.55 × 2,001.45
  4. Step 4: Simplify right side
    2,730.45x = 8,177,024.05
  5. Step 5: Solve for x
    x = 8,177,024.05/2,730.45
  6. Step 6: Final answer
    x = 2,994.75

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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.