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Finding the Fourth Proportional to 2,682.99, 3,702.87 and 1,504.13

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Solution

The fourth proportional to 2,682.99, 3,702.87 and 1,504.13 is: 2,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.99 : 3,702.87 = 1,504.13 : x
  2. Step 2: Convert to fraction form
    2,682.99/3,702.87 = 1,504.13/x
  3. Step 3: Cross multiply
    2,682.99x = 3,702.87 × 1,504.13
  4. Step 4: Simplify right side
    2,682.99x = 5,569,579.34
  5. Step 5: Solve for x
    x = 5,569,579.34/2,682.99
  6. Step 6: Final answer
    x = 2,075.89

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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.