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Finding the Fourth Proportional to 3,137.84, 4,706.96 and 946.56

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Solution

The fourth proportional to 3,137.84, 4,706.96 and 946.56 is: 1,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.84 : 4,706.96 = 946.56 : x
  2. Step 2: Convert to fraction form
    3,137.84/4,706.96 = 946.56/x
  3. Step 3: Cross multiply
    3,137.84x = 4,706.96 × 946.56
  4. Step 4: Simplify right side
    3,137.84x = 4,455,420.06
  5. Step 5: Solve for x
    x = 4,455,420.06/3,137.84
  6. Step 6: Final answer
    x = 1,419.90

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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.