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Finding the Fourth Proportional to 2,683.61, 3,700.56 and 2,123.18

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Solution

The fourth proportional to 2,683.61, 3,700.56 and 2,123.18 is: 2,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.61 : 3,700.56 = 2,123.18 : x
  2. Step 2: Convert to fraction form
    2,683.61/3,700.56 = 2,123.18/x
  3. Step 3: Cross multiply
    2,683.61x = 3,700.56 × 2,123.18
  4. Step 4: Simplify right side
    2,683.61x = 7,856,954.98
  5. Step 5: Solve for x
    x = 7,856,954.98/2,683.61
  6. Step 6: Final answer
    x = 2,927.76

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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.