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Finding the Fourth Proportional to 1,415.80, 1,927.61 and 1,411.41

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Solution

The fourth proportional to 1,415.80, 1,927.61 and 1,411.41 is: 1,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.80 : 1,927.61 = 1,411.41 : x
  2. Step 2: Convert to fraction form
    1,415.80/1,927.61 = 1,411.41/x
  3. Step 3: Cross multiply
    1,415.80x = 1,927.61 × 1,411.41
  4. Step 4: Simplify right side
    1,415.80x = 2,720,648.03
  5. Step 5: Solve for x
    x = 2,720,648.03/1,415.80
  6. Step 6: Final answer
    x = 1,921.63

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.