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Finding the Fourth Proportional to 3,140.97, 4,710.60 and 949.11

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Solution

The fourth proportional to 3,140.97, 4,710.60 and 949.11 is: 1,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.97 : 4,710.60 = 949.11 : x
  2. Step 2: Convert to fraction form
    3,140.97/4,710.60 = 949.11/x
  3. Step 3: Cross multiply
    3,140.97x = 4,710.60 × 949.11
  4. Step 4: Simplify right side
    3,140.97x = 4,470,877.57
  5. Step 5: Solve for x
    x = 4,470,877.57/3,140.97
  6. Step 6: Final answer
    x = 1,423.41

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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.