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Finding the Fourth Proportional to 3,315.70, 4,971.14 and 1,673.41

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Solution

The fourth proportional to 3,315.70, 4,971.14 and 1,673.41 is: 2,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.70 : 4,971.14 = 1,673.41 : x
  2. Step 2: Convert to fraction form
    3,315.70/4,971.14 = 1,673.41/x
  3. Step 3: Cross multiply
    3,315.70x = 4,971.14 × 1,673.41
  4. Step 4: Simplify right side
    3,315.70x = 8,318,750.19
  5. Step 5: Solve for x
    x = 8,318,750.19/3,315.70
  6. Step 6: Final answer
    x = 2,508.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.