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Finding the Fourth Proportional to 1,467.71, 2,185.50 and 1,415.15

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Solution

The fourth proportional to 1,467.71, 2,185.50 and 1,415.15 is: 2,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.71 : 2,185.50 = 1,415.15 : x
  2. Step 2: Convert to fraction form
    1,467.71/2,185.50 = 1,415.15/x
  3. Step 3: Cross multiply
    1,467.71x = 2,185.50 × 1,415.15
  4. Step 4: Simplify right side
    1,467.71x = 3,092,810.33
  5. Step 5: Solve for x
    x = 3,092,810.33/1,467.71
  6. Step 6: Final answer
    x = 2,107.24

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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.