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Finding the Fourth Proportional to 1,415.61, 1,953.31 and 891.27

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Solution

The fourth proportional to 1,415.61, 1,953.31 and 891.27 is: 1,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.61 : 1,953.31 = 891.27 : x
  2. Step 2: Convert to fraction form
    1,415.61/1,953.31 = 891.27/x
  3. Step 3: Cross multiply
    1,415.61x = 1,953.31 × 891.27
  4. Step 4: Simplify right side
    1,415.61x = 1,740,926.60
  5. Step 5: Solve for x
    x = 1,740,926.60/1,415.61
  6. Step 6: Final answer
    x = 1,229.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.