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Finding the Fourth Proportional to 2,896.52, 4,345.25 and 1,047.45

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Solution

The fourth proportional to 2,896.52, 4,345.25 and 1,047.45 is: 1,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.52 : 4,345.25 = 1,047.45 : x
  2. Step 2: Convert to fraction form
    2,896.52/4,345.25 = 1,047.45/x
  3. Step 3: Cross multiply
    2,896.52x = 4,345.25 × 1,047.45
  4. Step 4: Simplify right side
    2,896.52x = 4,551,426.88
  5. Step 5: Solve for x
    x = 4,551,426.88/2,896.52
  6. Step 6: Final answer
    x = 1,571.34

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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.