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Finding the Fourth Proportional to 1,845.30, 2,770.74 and 1,498.98

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Solution

The fourth proportional to 1,845.30, 2,770.74 and 1,498.98 is: 2,250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.30 : 2,770.74 = 1,498.98 : x
  2. Step 2: Convert to fraction form
    1,845.30/2,770.74 = 1,498.98/x
  3. Step 3: Cross multiply
    1,845.30x = 2,770.74 × 1,498.98
  4. Step 4: Simplify right side
    1,845.30x = 4,153,283.85
  5. Step 5: Solve for x
    x = 4,153,283.85/1,845.30
  6. Step 6: Final answer
    x = 2,250.74

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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.