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Finding the Fourth Proportional to 2,477.06, 3,419.13 and 1,638.30

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Solution

The fourth proportional to 2,477.06, 3,419.13 and 1,638.30 is: 2,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.06 : 3,419.13 = 1,638.30 : x
  2. Step 2: Convert to fraction form
    2,477.06/3,419.13 = 1,638.30/x
  3. Step 3: Cross multiply
    2,477.06x = 3,419.13 × 1,638.30
  4. Step 4: Simplify right side
    2,477.06x = 5,601,552.49
  5. Step 5: Solve for x
    x = 5,601,552.49/2,477.06
  6. Step 6: Final answer
    x = 2,261.38

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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.