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Finding the Fourth Proportional to 2,829.06, 3,903.39 and 1,897.56

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Solution

The fourth proportional to 2,829.06, 3,903.39 and 1,897.56 is: 2,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.06 : 3,903.39 = 1,897.56 : x
  2. Step 2: Convert to fraction form
    2,829.06/3,903.39 = 1,897.56/x
  3. Step 3: Cross multiply
    2,829.06x = 3,903.39 × 1,897.56
  4. Step 4: Simplify right side
    2,829.06x = 7,406,916.73
  5. Step 5: Solve for x
    x = 7,406,916.73/2,829.06
  6. Step 6: Final answer
    x = 2,618.15

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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.