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Finding the Fourth Proportional to 1,647.33, 2,272.24 and 1,056.93

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Solution

The fourth proportional to 1,647.33, 2,272.24 and 1,056.93 is: 1,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.33 : 2,272.24 = 1,056.93 : x
  2. Step 2: Convert to fraction form
    1,647.33/2,272.24 = 1,056.93/x
  3. Step 3: Cross multiply
    1,647.33x = 2,272.24 × 1,056.93
  4. Step 4: Simplify right side
    1,647.33x = 2,401,598.62
  5. Step 5: Solve for x
    x = 2,401,598.62/1,647.33
  6. Step 6: Final answer
    x = 1,457.87

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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.