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Finding the Fourth Proportional to 2,621.84, 3,618.14 and 1,442.99

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Solution

The fourth proportional to 2,621.84, 3,618.14 and 1,442.99 is: 1,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.84 : 3,618.14 = 1,442.99 : x
  2. Step 2: Convert to fraction form
    2,621.84/3,618.14 = 1,442.99/x
  3. Step 3: Cross multiply
    2,621.84x = 3,618.14 × 1,442.99
  4. Step 4: Simplify right side
    2,621.84x = 5,220,914.53
  5. Step 5: Solve for x
    x = 5,220,914.53/2,621.84
  6. Step 6: Final answer
    x = 1,991.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.