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Finding the Fourth Proportional to 1,536.72, 2,302.83 and 911.40

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Solution

The fourth proportional to 1,536.72, 2,302.83 and 911.40 is: 1,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.72 : 2,302.83 = 911.40 : x
  2. Step 2: Convert to fraction form
    1,536.72/2,302.83 = 911.40/x
  3. Step 3: Cross multiply
    1,536.72x = 2,302.83 × 911.40
  4. Step 4: Simplify right side
    1,536.72x = 2,098,799.26
  5. Step 5: Solve for x
    x = 2,098,799.26/1,536.72
  6. Step 6: Final answer
    x = 1,365.77

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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.