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Finding the Fourth Proportional to 2,096.35, 3,146.95 and 1,124.35

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Solution

The fourth proportional to 2,096.35, 3,146.95 and 1,124.35 is: 1,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.35 : 3,146.95 = 1,124.35 : x
  2. Step 2: Convert to fraction form
    2,096.35/3,146.95 = 1,124.35/x
  3. Step 3: Cross multiply
    2,096.35x = 3,146.95 × 1,124.35
  4. Step 4: Simplify right side
    2,096.35x = 3,538,266.77
  5. Step 5: Solve for x
    x = 3,538,266.77/2,096.35
  6. Step 6: Final answer
    x = 1,687.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.