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Finding the Fourth Proportional to 2,683.50, 3,701.97 and 1,897.98

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Solution

The fourth proportional to 2,683.50, 3,701.97 and 1,897.98 is: 2,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.50 : 3,701.97 = 1,897.98 : x
  2. Step 2: Convert to fraction form
    2,683.50/3,701.97 = 1,897.98/x
  3. Step 3: Cross multiply
    2,683.50x = 3,701.97 × 1,897.98
  4. Step 4: Simplify right side
    2,683.50x = 7,026,265.02
  5. Step 5: Solve for x
    x = 7,026,265.02/2,683.50
  6. Step 6: Final answer
    x = 2,618.32

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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.