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Finding the Fourth Proportional to 2,253.89, 3,111.50 and 1,415.81

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Solution

The fourth proportional to 2,253.89, 3,111.50 and 1,415.81 is: 1,954.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.89 : 3,111.50 = 1,415.81 : x
  2. Step 2: Convert to fraction form
    2,253.89/3,111.50 = 1,415.81/x
  3. Step 3: Cross multiply
    2,253.89x = 3,111.50 × 1,415.81
  4. Step 4: Simplify right side
    2,253.89x = 4,405,292.82
  5. Step 5: Solve for x
    x = 4,405,292.82/2,253.89
  6. Step 6: Final answer
    x = 1,954.53

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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.