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Finding the Fourth Proportional to 3,001.09, 4,500.10 and 1,768.90

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Solution

The fourth proportional to 3,001.09, 4,500.10 and 1,768.90 is: 2,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.09 : 4,500.10 = 1,768.90 : x
  2. Step 2: Convert to fraction form
    3,001.09/4,500.10 = 1,768.90/x
  3. Step 3: Cross multiply
    3,001.09x = 4,500.10 × 1,768.90
  4. Step 4: Simplify right side
    3,001.09x = 7,960,226.89
  5. Step 5: Solve for x
    x = 7,960,226.89/3,001.09
  6. Step 6: Final answer
    x = 2,652.45

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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.