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Finding the Fourth Proportional to 1,461.85, 2,173.97 and 1,415.71

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Solution

The fourth proportional to 1,461.85, 2,173.97 and 1,415.71 is: 2,105.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.85 : 2,173.97 = 1,415.71 : x
  2. Step 2: Convert to fraction form
    1,461.85/2,173.97 = 1,415.71/x
  3. Step 3: Cross multiply
    1,461.85x = 2,173.97 × 1,415.71
  4. Step 4: Simplify right side
    1,461.85x = 3,077,717.33
  5. Step 5: Solve for x
    x = 3,077,717.33/1,461.85
  6. Step 6: Final answer
    x = 2,105.36

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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.