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Finding the Fourth Proportional to 2,750.44, 4,125.09 and 971.74

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Solution

The fourth proportional to 2,750.44, 4,125.09 and 971.74 is: 1,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.44 : 4,125.09 = 971.74 : x
  2. Step 2: Convert to fraction form
    2,750.44/4,125.09 = 971.74/x
  3. Step 3: Cross multiply
    2,750.44x = 4,125.09 × 971.74
  4. Step 4: Simplify right side
    2,750.44x = 4,008,514.96
  5. Step 5: Solve for x
    x = 4,008,514.96/2,750.44
  6. Step 6: Final answer
    x = 1,457.41

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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.