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Finding the Fourth Proportional to 2,609.84, 3,606.13 and 2,054.72

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Solution

The fourth proportional to 2,609.84, 3,606.13 and 2,054.72 is: 2,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.84 : 3,606.13 = 2,054.72 : x
  2. Step 2: Convert to fraction form
    2,609.84/3,606.13 = 2,054.72/x
  3. Step 3: Cross multiply
    2,609.84x = 3,606.13 × 2,054.72
  4. Step 4: Simplify right side
    2,609.84x = 7,409,587.43
  5. Step 5: Solve for x
    x = 7,409,587.43/2,609.84
  6. Step 6: Final answer
    x = 2,839.10

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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.