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Finding the Fourth Proportional to 1,415.27, 1,953.47 and 995.72

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Solution

The fourth proportional to 1,415.27, 1,953.47 and 995.72 is: 1,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.27 : 1,953.47 = 995.72 : x
  2. Step 2: Convert to fraction form
    1,415.27/1,953.47 = 995.72/x
  3. Step 3: Cross multiply
    1,415.27x = 1,953.47 × 995.72
  4. Step 4: Simplify right side
    1,415.27x = 1,945,094.40
  5. Step 5: Solve for x
    x = 1,945,094.40/1,415.27
  6. Step 6: Final answer
    x = 1,374.37

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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.