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Finding the Fourth Proportional to 2,971.72, 4,457.56 and 2,323

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Solution

The fourth proportional to 2,971.72, 4,457.56 and 2,323 is: 3,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.72 : 4,457.56 = 2,323 : x
  2. Step 2: Convert to fraction form
    2,971.72/4,457.56 = 2,323/x
  3. Step 3: Cross multiply
    2,971.72x = 4,457.56 × 2,323
  4. Step 4: Simplify right side
    2,971.72x = 10,354,911.88
  5. Step 5: Solve for x
    x = 10,354,911.88/2,971.72
  6. Step 6: Final answer
    x = 3,484.48

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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.