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Finding the Fourth Proportional to 2,026.47, 3,040.14 and 856.48

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Solution

The fourth proportional to 2,026.47, 3,040.14 and 856.48 is: 1,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.47 : 3,040.14 = 856.48 : x
  2. Step 2: Convert to fraction form
    2,026.47/3,040.14 = 856.48/x
  3. Step 3: Cross multiply
    2,026.47x = 3,040.14 × 856.48
  4. Step 4: Simplify right side
    2,026.47x = 2,603,819.11
  5. Step 5: Solve for x
    x = 2,603,819.11/2,026.47
  6. Step 6: Final answer
    x = 1,284.90

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Why These Related Problems?

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