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Finding the Fourth Proportional to 2,018.05, 3,024.52 and 847.45

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Solution

The fourth proportional to 2,018.05, 3,024.52 and 847.45 is: 1,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.05 : 3,024.52 = 847.45 : x
  2. Step 2: Convert to fraction form
    2,018.05/3,024.52 = 847.45/x
  3. Step 3: Cross multiply
    2,018.05x = 3,024.52 × 847.45
  4. Step 4: Simplify right side
    2,018.05x = 2,563,118.89
  5. Step 5: Solve for x
    x = 2,563,118.89/2,018.05
  6. Step 6: Final answer
    x = 1,270.10

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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.