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Finding the Fourth Proportional to 2,683.16, 3,702.75 and 1,504.25

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Solution

The fourth proportional to 2,683.16, 3,702.75 and 1,504.25 is: 2,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.16 : 3,702.75 = 1,504.25 : x
  2. Step 2: Convert to fraction form
    2,683.16/3,702.75 = 1,504.25/x
  3. Step 3: Cross multiply
    2,683.16x = 3,702.75 × 1,504.25
  4. Step 4: Simplify right side
    2,683.16x = 5,569,861.69
  5. Step 5: Solve for x
    x = 5,569,861.69/2,683.16
  6. Step 6: Final answer
    x = 2,075.86

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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.