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Finding the Fourth Proportional to 2,024.19, 3,037.46 and 854.12

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Solution

The fourth proportional to 2,024.19, 3,037.46 and 854.12 is: 1,281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.19 : 3,037.46 = 854.12 : x
  2. Step 2: Convert to fraction form
    2,024.19/3,037.46 = 854.12/x
  3. Step 3: Cross multiply
    2,024.19x = 3,037.46 × 854.12
  4. Step 4: Simplify right side
    2,024.19x = 2,594,355.34
  5. Step 5: Solve for x
    x = 2,594,355.34/2,024.19
  6. Step 6: Final answer
    x = 1,281.68

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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.