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Finding the Fourth Proportional to 2,735.68, 4,103.49 and 1,856.01

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Solution

The fourth proportional to 2,735.68, 4,103.49 and 1,856.01 is: 2,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.68 : 4,103.49 = 1,856.01 : x
  2. Step 2: Convert to fraction form
    2,735.68/4,103.49 = 1,856.01/x
  3. Step 3: Cross multiply
    2,735.68x = 4,103.49 × 1,856.01
  4. Step 4: Simplify right side
    2,735.68x = 7,616,106.20
  5. Step 5: Solve for x
    x = 7,616,106.20/2,735.68
  6. Step 6: Final answer
    x = 2,783.99

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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.