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Finding the Fourth Proportional to 2,971.25, 4,457.75 and 891.33

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Solution

The fourth proportional to 2,971.25, 4,457.75 and 891.33 is: 1,337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.25 : 4,457.75 = 891.33 : x
  2. Step 2: Convert to fraction form
    2,971.25/4,457.75 = 891.33/x
  3. Step 3: Cross multiply
    2,971.25x = 4,457.75 × 891.33
  4. Step 4: Simplify right side
    2,971.25x = 3,973,326.31
  5. Step 5: Solve for x
    x = 3,973,326.31/2,971.25
  6. Step 6: Final answer
    x = 1,337.26

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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.