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Finding the Fourth Proportional to 2,683.68, 3,702.61 and 1,740.21

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Solution

The fourth proportional to 2,683.68, 3,702.61 and 1,740.21 is: 2,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.68 : 3,702.61 = 1,740.21 : x
  2. Step 2: Convert to fraction form
    2,683.68/3,702.61 = 1,740.21/x
  3. Step 3: Cross multiply
    2,683.68x = 3,702.61 × 1,740.21
  4. Step 4: Simplify right side
    2,683.68x = 6,443,317.65
  5. Step 5: Solve for x
    x = 6,443,317.65/2,683.68
  6. Step 6: Final answer
    x = 2,400.92

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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.