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Finding the Fourth Proportional to 2,026.33, 3,038.20 and 856.02

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Solution

The fourth proportional to 2,026.33, 3,038.20 and 856.02 is: 1,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.33 : 3,038.20 = 856.02 : x
  2. Step 2: Convert to fraction form
    2,026.33/3,038.20 = 856.02/x
  3. Step 3: Cross multiply
    2,026.33x = 3,038.20 × 856.02
  4. Step 4: Simplify right side
    2,026.33x = 2,600,759.96
  5. Step 5: Solve for x
    x = 2,600,759.96/2,026.33
  6. Step 6: Final answer
    x = 1,283.48

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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.