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Finding the Fourth Proportional to 3,137.67, 4,706.95 and 946.57

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Solution

The fourth proportional to 3,137.67, 4,706.95 and 946.57 is: 1,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.67 : 4,706.95 = 946.57 : x
  2. Step 2: Convert to fraction form
    3,137.67/4,706.95 = 946.57/x
  3. Step 3: Cross multiply
    3,137.67x = 4,706.95 × 946.57
  4. Step 4: Simplify right side
    3,137.67x = 4,455,457.66
  5. Step 5: Solve for x
    x = 4,455,457.66/3,137.67
  6. Step 6: Final answer
    x = 1,419.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.