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Finding the Fourth Proportional to 3,106.96, 4,658.14 and 1,026.28

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Solution

The fourth proportional to 3,106.96, 4,658.14 and 1,026.28 is: 1,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.96 : 4,658.14 = 1,026.28 : x
  2. Step 2: Convert to fraction form
    3,106.96/4,658.14 = 1,026.28/x
  3. Step 3: Cross multiply
    3,106.96x = 4,658.14 × 1,026.28
  4. Step 4: Simplify right side
    3,106.96x = 4,780,555.92
  5. Step 5: Solve for x
    x = 4,780,555.92/3,106.96
  6. Step 6: Final answer
    x = 1,538.66

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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.