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Finding the Fourth Proportional to 2,715.03, 4,071.96 and 767.34

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Solution

The fourth proportional to 2,715.03, 4,071.96 and 767.34 is: 1,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.03 : 4,071.96 = 767.34 : x
  2. Step 2: Convert to fraction form
    2,715.03/4,071.96 = 767.34/x
  3. Step 3: Cross multiply
    2,715.03x = 4,071.96 × 767.34
  4. Step 4: Simplify right side
    2,715.03x = 3,124,577.79
  5. Step 5: Solve for x
    x = 3,124,577.79/2,715.03
  6. Step 6: Final answer
    x = 1,150.84

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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.