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Finding the Fourth Proportional to 2,014.70, 2,773.97 and 1,830.18

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Solution

The fourth proportional to 2,014.70, 2,773.97 and 1,830.18 is: 2,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.70 : 2,773.97 = 1,830.18 : x
  2. Step 2: Convert to fraction form
    2,014.70/2,773.97 = 1,830.18/x
  3. Step 3: Cross multiply
    2,014.70x = 2,773.97 × 1,830.18
  4. Step 4: Simplify right side
    2,014.70x = 5,076,868.99
  5. Step 5: Solve for x
    x = 5,076,868.99/2,014.70
  6. Step 6: Final answer
    x = 2,519.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.