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Finding the Fourth Proportional to 2,859.27, 4,290.14 and 1,105.51

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Solution

The fourth proportional to 2,859.27, 4,290.14 and 1,105.51 is: 1,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.27 : 4,290.14 = 1,105.51 : x
  2. Step 2: Convert to fraction form
    2,859.27/4,290.14 = 1,105.51/x
  3. Step 3: Cross multiply
    2,859.27x = 4,290.14 × 1,105.51
  4. Step 4: Simplify right side
    2,859.27x = 4,742,799.49
  5. Step 5: Solve for x
    x = 4,742,799.49/2,859.27
  6. Step 6: Final answer
    x = 1,658.74

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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.