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Finding the Fourth Proportional to 1,467.90, 2,025.66 and 838.46

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Solution

The fourth proportional to 1,467.90, 2,025.66 and 838.46 is: 1,157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.90 : 2,025.66 = 838.46 : x
  2. Step 2: Convert to fraction form
    1,467.90/2,025.66 = 838.46/x
  3. Step 3: Cross multiply
    1,467.90x = 2,025.66 × 838.46
  4. Step 4: Simplify right side
    1,467.90x = 1,698,434.88
  5. Step 5: Solve for x
    x = 1,698,434.88/1,467.90
  6. Step 6: Final answer
    x = 1,157.05

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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.