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Finding the Fourth Proportional to 1,455.34, 2,185.22 and 910.96

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Solution

The fourth proportional to 1,455.34, 2,185.22 and 910.96 is: 1,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.34 : 2,185.22 = 910.96 : x
  2. Step 2: Convert to fraction form
    1,455.34/2,185.22 = 910.96/x
  3. Step 3: Cross multiply
    1,455.34x = 2,185.22 × 910.96
  4. Step 4: Simplify right side
    1,455.34x = 1,990,648.01
  5. Step 5: Solve for x
    x = 1,990,648.01/1,455.34
  6. Step 6: Final answer
    x = 1,367.82

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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.