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Finding the Fourth Proportional to 1,647.34, 2,272.24 and 1,056.94

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Solution

The fourth proportional to 1,647.34, 2,272.24 and 1,056.94 is: 1,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.34 : 2,272.24 = 1,056.94 : x
  2. Step 2: Convert to fraction form
    1,647.34/2,272.24 = 1,056.94/x
  3. Step 3: Cross multiply
    1,647.34x = 2,272.24 × 1,056.94
  4. Step 4: Simplify right side
    1,647.34x = 2,401,621.35
  5. Step 5: Solve for x
    x = 2,401,621.35/1,647.34
  6. Step 6: Final answer
    x = 1,457.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.