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Finding the Fourth Proportional to 2,698.54, 3,724.04 and 1,503.63

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Solution

The fourth proportional to 2,698.54, 3,724.04 and 1,503.63 is: 2,075.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.54 : 3,724.04 = 1,503.63 : x
  2. Step 2: Convert to fraction form
    2,698.54/3,724.04 = 1,503.63/x
  3. Step 3: Cross multiply
    2,698.54x = 3,724.04 × 1,503.63
  4. Step 4: Simplify right side
    2,698.54x = 5,599,578.27
  5. Step 5: Solve for x
    x = 5,599,578.27/2,698.54
  6. Step 6: Final answer
    x = 2,075.04

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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.