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Finding the Fourth Proportional to 2,106.79, 3,156.42 and 1,284.64

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Solution

The fourth proportional to 2,106.79, 3,156.42 and 1,284.64 is: 1,924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.79 : 3,156.42 = 1,284.64 : x
  2. Step 2: Convert to fraction form
    2,106.79/3,156.42 = 1,284.64/x
  3. Step 3: Cross multiply
    2,106.79x = 3,156.42 × 1,284.64
  4. Step 4: Simplify right side
    2,106.79x = 4,054,863.39
  5. Step 5: Solve for x
    x = 4,054,863.39/2,106.79
  6. Step 6: Final answer
    x = 1,924.66

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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.