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Finding the Fourth Proportional to 2,823.71, 3,897.86 and 1,829.84

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Solution

The fourth proportional to 2,823.71, 3,897.86 and 1,829.84 is: 2,525.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.71 : 3,897.86 = 1,829.84 : x
  2. Step 2: Convert to fraction form
    2,823.71/3,897.86 = 1,829.84/x
  3. Step 3: Cross multiply
    2,823.71x = 3,897.86 × 1,829.84
  4. Step 4: Simplify right side
    2,823.71x = 7,132,431.50
  5. Step 5: Solve for x
    x = 7,132,431.50/2,823.71
  6. Step 6: Final answer
    x = 2,525.91

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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.