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Finding the Fourth Proportional to 2,683.28, 3,702.90 and 1,689.86

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Solution

The fourth proportional to 2,683.28, 3,702.90 and 1,689.86 is: 2,332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.28 : 3,702.90 = 1,689.86 : x
  2. Step 2: Convert to fraction form
    2,683.28/3,702.90 = 1,689.86/x
  3. Step 3: Cross multiply
    2,683.28x = 3,702.90 × 1,689.86
  4. Step 4: Simplify right side
    2,683.28x = 6,257,391.85
  5. Step 5: Solve for x
    x = 6,257,391.85/2,683.28
  6. Step 6: Final answer
    x = 2,332.00

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