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Finding the Fourth Proportional to 1,467.52, 2,025.18 and 846.52

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Solution

The fourth proportional to 1,467.52, 2,025.18 and 846.52 is: 1,168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.52 : 2,025.18 = 846.52 : x
  2. Step 2: Convert to fraction form
    1,467.52/2,025.18 = 846.52/x
  3. Step 3: Cross multiply
    1,467.52x = 2,025.18 × 846.52
  4. Step 4: Simplify right side
    1,467.52x = 1,714,355.37
  5. Step 5: Solve for x
    x = 1,714,355.37/1,467.52
  6. Step 6: Final answer
    x = 1,168.20

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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.