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Finding the Fourth Proportional to 1,761.21, 2,630.25 and 1,415.07

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Solution

The fourth proportional to 1,761.21, 2,630.25 and 1,415.07 is: 2,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.21 : 2,630.25 = 1,415.07 : x
  2. Step 2: Convert to fraction form
    1,761.21/2,630.25 = 1,415.07/x
  3. Step 3: Cross multiply
    1,761.21x = 2,630.25 × 1,415.07
  4. Step 4: Simplify right side
    1,761.21x = 3,721,987.87
  5. Step 5: Solve for x
    x = 3,721,987.87/1,761.21
  6. Step 6: Final answer
    x = 2,113.31

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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.