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Finding the Fourth Proportional to 2,280.70, 3,421.25 and 1,671.98

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Solution

The fourth proportional to 2,280.70, 3,421.25 and 1,671.98 is: 2,508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.70 : 3,421.25 = 1,671.98 : x
  2. Step 2: Convert to fraction form
    2,280.70/3,421.25 = 1,671.98/x
  3. Step 3: Cross multiply
    2,280.70x = 3,421.25 × 1,671.98
  4. Step 4: Simplify right side
    2,280.70x = 5,720,261.58
  5. Step 5: Solve for x
    x = 5,720,261.58/2,280.70
  6. Step 6: Final answer
    x = 2,508.12

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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.