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Finding the Fourth Proportional to 2,867.52, 4,300.34 and 919.26

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Solution

The fourth proportional to 2,867.52, 4,300.34 and 919.26 is: 1,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.52 : 4,300.34 = 919.26 : x
  2. Step 2: Convert to fraction form
    2,867.52/4,300.34 = 919.26/x
  3. Step 3: Cross multiply
    2,867.52x = 4,300.34 × 919.26
  4. Step 4: Simplify right side
    2,867.52x = 3,953,130.55
  5. Step 5: Solve for x
    x = 3,953,130.55/2,867.52
  6. Step 6: Final answer
    x = 1,378.59

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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.