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Finding the Fourth Proportional to 2,683.41, 3,702.35 and 1,739.24

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Solution

The fourth proportional to 2,683.41, 3,702.35 and 1,739.24 is: 2,399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.41 : 3,702.35 = 1,739.24 : x
  2. Step 2: Convert to fraction form
    2,683.41/3,702.35 = 1,739.24/x
  3. Step 3: Cross multiply
    2,683.41x = 3,702.35 × 1,739.24
  4. Step 4: Simplify right side
    2,683.41x = 6,439,262.71
  5. Step 5: Solve for x
    x = 6,439,262.71/2,683.41
  6. Step 6: Final answer
    x = 2,399.66

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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.