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Finding the Fourth Proportional to 2,896.77, 4,342.59 and 1,047.45

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Solution

The fourth proportional to 2,896.77, 4,342.59 and 1,047.45 is: 1,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.77 : 4,342.59 = 1,047.45 : x
  2. Step 2: Convert to fraction form
    2,896.77/4,342.59 = 1,047.45/x
  3. Step 3: Cross multiply
    2,896.77x = 4,342.59 × 1,047.45
  4. Step 4: Simplify right side
    2,896.77x = 4,548,645.90
  5. Step 5: Solve for x
    x = 4,548,645.90/2,896.77
  6. Step 6: Final answer
    x = 1,570.25

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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.