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Finding the Fourth Proportional to 2,362.84, 3,535.38 and 1,671.21

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Solution

The fourth proportional to 2,362.84, 3,535.38 and 1,671.21 is: 2,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.84 : 3,535.38 = 1,671.21 : x
  2. Step 2: Convert to fraction form
    2,362.84/3,535.38 = 1,671.21/x
  3. Step 3: Cross multiply
    2,362.84x = 3,535.38 × 1,671.21
  4. Step 4: Simplify right side
    2,362.84x = 5,908,362.41
  5. Step 5: Solve for x
    x = 5,908,362.41/2,362.84
  6. Step 6: Final answer
    x = 2,500.54

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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.