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Finding the Fourth Proportional to 2,683.14, 3,702.71 and 1,504.22

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Solution

The fourth proportional to 2,683.14, 3,702.71 and 1,504.22 is: 2,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.14 : 3,702.71 = 1,504.22 : x
  2. Step 2: Convert to fraction form
    2,683.14/3,702.71 = 1,504.22/x
  3. Step 3: Cross multiply
    2,683.14x = 3,702.71 × 1,504.22
  4. Step 4: Simplify right side
    2,683.14x = 5,569,664.40
  5. Step 5: Solve for x
    x = 5,569,664.40/2,683.14
  6. Step 6: Final answer
    x = 2,075.80

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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.