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Finding the Fourth Proportional to 2,073.72, 3,111.06 and 1,047.48

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Solution

The fourth proportional to 2,073.72, 3,111.06 and 1,047.48 is: 1,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.72 : 3,111.06 = 1,047.48 : x
  2. Step 2: Convert to fraction form
    2,073.72/3,111.06 = 1,047.48/x
  3. Step 3: Cross multiply
    2,073.72x = 3,111.06 × 1,047.48
  4. Step 4: Simplify right side
    2,073.72x = 3,258,773.13
  5. Step 5: Solve for x
    x = 3,258,773.13/2,073.72
  6. Step 6: Final answer
    x = 1,571.46

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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.