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Finding the Fourth Proportional to 1,215.96, 1,815.56 and 1,042.35

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Solution

The fourth proportional to 1,215.96, 1,815.56 and 1,042.35 is: 1,556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.96 : 1,815.56 = 1,042.35 : x
  2. Step 2: Convert to fraction form
    1,215.96/1,815.56 = 1,042.35/x
  3. Step 3: Cross multiply
    1,215.96x = 1,815.56 × 1,042.35
  4. Step 4: Simplify right side
    1,215.96x = 1,892,443.75
  5. Step 5: Solve for x
    x = 1,892,443.75/1,215.96
  6. Step 6: Final answer
    x = 1,556.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.