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Finding the Fourth Proportional to 1,647.82, 2,471.28 and 856.45

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Solution

The fourth proportional to 1,647.82, 2,471.28 and 856.45 is: 1,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.82 : 2,471.28 = 856.45 : x
  2. Step 2: Convert to fraction form
    1,647.82/2,471.28 = 856.45/x
  3. Step 3: Cross multiply
    1,647.82x = 2,471.28 × 856.45
  4. Step 4: Simplify right side
    1,647.82x = 2,116,527.63
  5. Step 5: Solve for x
    x = 2,116,527.63/1,647.82
  6. Step 6: Final answer
    x = 1,284.44

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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.