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Finding the Fourth Proportional to 2,106.84, 3,154.74 and 1,669.08

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Solution

The fourth proportional to 2,106.84, 3,154.74 and 1,669.08 is: 2,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.84 : 3,154.74 = 1,669.08 : x
  2. Step 2: Convert to fraction form
    2,106.84/3,154.74 = 1,669.08/x
  3. Step 3: Cross multiply
    2,106.84x = 3,154.74 × 1,669.08
  4. Step 4: Simplify right side
    2,106.84x = 5,265,513.44
  5. Step 5: Solve for x
    x = 5,265,513.44/2,106.84
  6. Step 6: Final answer
    x = 2,499.25

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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.