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Finding the Fourth Proportional to 2,683.34, 3,701.36 and 1,687.80

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Solution

The fourth proportional to 2,683.34, 3,701.36 and 1,687.80 is: 2,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.34 : 3,701.36 = 1,687.80 : x
  2. Step 2: Convert to fraction form
    2,683.34/3,701.36 = 1,687.80/x
  3. Step 3: Cross multiply
    2,683.34x = 3,701.36 × 1,687.80
  4. Step 4: Simplify right side
    2,683.34x = 6,247,155.41
  5. Step 5: Solve for x
    x = 6,247,155.41/2,683.34
  6. Step 6: Final answer
    x = 2,328.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.