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Finding the Fourth Proportional to 2,803.36, 4,206.90 and 1,071.92

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Solution

The fourth proportional to 2,803.36, 4,206.90 and 1,071.92 is: 1,608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.36 : 4,206.90 = 1,071.92 : x
  2. Step 2: Convert to fraction form
    2,803.36/4,206.90 = 1,071.92/x
  3. Step 3: Cross multiply
    2,803.36x = 4,206.90 × 1,071.92
  4. Step 4: Simplify right side
    2,803.36x = 4,509,460.25
  5. Step 5: Solve for x
    x = 4,509,460.25/2,803.36
  6. Step 6: Final answer
    x = 1,608.59

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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.