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Finding the Fourth Proportional to 1,830.45, 2,747.70 and 1,137.90

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Solution

The fourth proportional to 1,830.45, 2,747.70 and 1,137.90 is: 1,708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.45 : 2,747.70 = 1,137.90 : x
  2. Step 2: Convert to fraction form
    1,830.45/2,747.70 = 1,137.90/x
  3. Step 3: Cross multiply
    1,830.45x = 2,747.70 × 1,137.90
  4. Step 4: Simplify right side
    1,830.45x = 3,126,607.83
  5. Step 5: Solve for x
    x = 3,126,607.83/1,830.45
  6. Step 6: Final answer
    x = 1,708.11

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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.