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Finding the Fourth Proportional to 1,647.66, 2,471.49 and 493.41

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Solution

The fourth proportional to 1,647.66, 2,471.49 and 493.41 is: 740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.66 : 2,471.49 = 493.41 : x
  2. Step 2: Convert to fraction form
    1,647.66/2,471.49 = 493.41/x
  3. Step 3: Cross multiply
    1,647.66x = 2,471.49 × 493.41
  4. Step 4: Simplify right side
    1,647.66x = 1,219,457.88
  5. Step 5: Solve for x
    x = 1,219,457.88/1,647.66
  6. Step 6: Final answer
    x = 740.12

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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.