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Finding the Fourth Proportional to 2,686.50, 3,707.64 and 1,638.36

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Solution

The fourth proportional to 2,686.50, 3,707.64 and 1,638.36 is: 2,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.50 : 3,707.64 = 1,638.36 : x
  2. Step 2: Convert to fraction form
    2,686.50/3,707.64 = 1,638.36/x
  3. Step 3: Cross multiply
    2,686.50x = 3,707.64 × 1,638.36
  4. Step 4: Simplify right side
    2,686.50x = 6,074,449.07
  5. Step 5: Solve for x
    x = 6,074,449.07/2,686.50
  6. Step 6: Final answer
    x = 2,261.10

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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.