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Finding the Fourth Proportional to 2,682.98, 3,702.72 and 1,504.16

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Solution

The fourth proportional to 2,682.98, 3,702.72 and 1,504.16 is: 2,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.98 : 3,702.72 = 1,504.16 : x
  2. Step 2: Convert to fraction form
    2,682.98/3,702.72 = 1,504.16/x
  3. Step 3: Cross multiply
    2,682.98x = 3,702.72 × 1,504.16
  4. Step 4: Simplify right side
    2,682.98x = 5,569,483.32
  5. Step 5: Solve for x
    x = 5,569,483.32/2,682.98
  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.