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Finding the Fourth Proportional to 2,838.96, 4,259.16 and 1,357.92

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Solution

The fourth proportional to 2,838.96, 4,259.16 and 1,357.92 is: 2,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.96 : 4,259.16 = 1,357.92 : x
  2. Step 2: Convert to fraction form
    2,838.96/4,259.16 = 1,357.92/x
  3. Step 3: Cross multiply
    2,838.96x = 4,259.16 × 1,357.92
  4. Step 4: Simplify right side
    2,838.96x = 5,783,598.55
  5. Step 5: Solve for x
    x = 5,783,598.55/2,838.96
  6. Step 6: Final answer
    x = 2,037.22

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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.