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Finding the Fourth Proportional to 2,683.11, 3,702.68 and 1,504.18

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Solution

The fourth proportional to 2,683.11, 3,702.68 and 1,504.18 is: 2,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.11 : 3,702.68 = 1,504.18 : x
  2. Step 2: Convert to fraction form
    2,683.11/3,702.68 = 1,504.18/x
  3. Step 3: Cross multiply
    2,683.11x = 3,702.68 × 1,504.18
  4. Step 4: Simplify right side
    2,683.11x = 5,569,478.69
  5. Step 5: Solve for x
    x = 5,569,478.69/2,683.11
  6. Step 6: Final answer
    x = 2,075.76

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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.