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Finding the Fourth Proportional to 2,173.84, 3,260.74 and 1,880.46

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Solution

The fourth proportional to 2,173.84, 3,260.74 and 1,880.46 is: 2,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.84 : 3,260.74 = 1,880.46 : x
  2. Step 2: Convert to fraction form
    2,173.84/3,260.74 = 1,880.46/x
  3. Step 3: Cross multiply
    2,173.84x = 3,260.74 × 1,880.46
  4. Step 4: Simplify right side
    2,173.84x = 6,131,682.99
  5. Step 5: Solve for x
    x = 6,131,682.99/2,173.84
  6. Step 6: Final answer
    x = 2,820.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.