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Finding the Fourth Proportional to 2,682.46, 3,701.97 and 1,503.61

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Solution

The fourth proportional to 2,682.46, 3,701.97 and 1,503.61 is: 2,075.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.46 : 3,701.97 = 1,503.61 : x
  2. Step 2: Convert to fraction form
    2,682.46/3,701.97 = 1,503.61/x
  3. Step 3: Cross multiply
    2,682.46x = 3,701.97 × 1,503.61
  4. Step 4: Simplify right side
    2,682.46x = 5,566,319.11
  5. Step 5: Solve for x
    x = 5,566,319.11/2,682.46
  6. Step 6: Final answer
    x = 2,075.08

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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.