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Finding the Fourth Proportional to 1,835.71, 2,748.09 and 1,770.10

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Solution

The fourth proportional to 1,835.71, 2,748.09 and 1,770.10 is: 2,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.71 : 2,748.09 = 1,770.10 : x
  2. Step 2: Convert to fraction form
    1,835.71/2,748.09 = 1,770.10/x
  3. Step 3: Cross multiply
    1,835.71x = 2,748.09 × 1,770.10
  4. Step 4: Simplify right side
    1,835.71x = 4,864,393.88
  5. Step 5: Solve for x
    x = 4,864,393.88/1,835.71
  6. Step 6: Final answer
    x = 2,649.87

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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.