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Finding the Fourth Proportional to 2,802.96, 4,202.64 and 1,071.60

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Solution

The fourth proportional to 2,802.96, 4,202.64 and 1,071.60 is: 1,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.96 : 4,202.64 = 1,071.60 : x
  2. Step 2: Convert to fraction form
    2,802.96/4,202.64 = 1,071.60/x
  3. Step 3: Cross multiply
    2,802.96x = 4,202.64 × 1,071.60
  4. Step 4: Simplify right side
    2,802.96x = 4,503,549.02
  5. Step 5: Solve for x
    x = 4,503,549.02/2,802.96
  6. Step 6: Final answer
    x = 1,606.71

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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.