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Finding the Fourth Proportional to 3,126.59, 4,690.94 and 1,046.81

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Solution

The fourth proportional to 3,126.59, 4,690.94 and 1,046.81 is: 1,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.59 : 4,690.94 = 1,046.81 : x
  2. Step 2: Convert to fraction form
    3,126.59/4,690.94 = 1,046.81/x
  3. Step 3: Cross multiply
    3,126.59x = 4,690.94 × 1,046.81
  4. Step 4: Simplify right side
    3,126.59x = 4,910,494.21
  5. Step 5: Solve for x
    x = 4,910,494.21/3,126.59
  6. Step 6: Final answer
    x = 1,570.56

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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.