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Finding the Fourth Proportional to 1,467.56, 2,024.80 and 944.28

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Solution

The fourth proportional to 1,467.56, 2,024.80 and 944.28 is: 1,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.56 : 2,024.80 = 944.28 : x
  2. Step 2: Convert to fraction form
    1,467.56/2,024.80 = 944.28/x
  3. Step 3: Cross multiply
    1,467.56x = 2,024.80 × 944.28
  4. Step 4: Simplify right side
    1,467.56x = 1,911,978.14
  5. Step 5: Solve for x
    x = 1,911,978.14/1,467.56
  6. Step 6: Final answer
    x = 1,302.83

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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.