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Finding the Fourth Proportional to 2,770.51, 3,823.40 and 1,651.63

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Solution

The fourth proportional to 2,770.51, 3,823.40 and 1,651.63 is: 2,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.51 : 3,823.40 = 1,651.63 : x
  2. Step 2: Convert to fraction form
    2,770.51/3,823.40 = 1,651.63/x
  3. Step 3: Cross multiply
    2,770.51x = 3,823.40 × 1,651.63
  4. Step 4: Simplify right side
    2,770.51x = 6,314,833.88
  5. Step 5: Solve for x
    x = 6,314,833.88/2,770.51
  6. Step 6: Final answer
    x = 2,279.30

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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.