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Finding the Fourth Proportional to 1,536.05, 2,302.35 and 611.36

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Solution

The fourth proportional to 1,536.05, 2,302.35 and 611.36 is: 916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.05 : 2,302.35 = 611.36 : x
  2. Step 2: Convert to fraction form
    1,536.05/2,302.35 = 611.36/x
  3. Step 3: Cross multiply
    1,536.05x = 2,302.35 × 611.36
  4. Step 4: Simplify right side
    1,536.05x = 1,407,553.18
  5. Step 5: Solve for x
    x = 1,407,553.18/1,536.05
  6. Step 6: Final answer
    x = 916.35

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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.