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Finding the Fourth Proportional to 1,577.80, 2,362.86 and 1,063.24

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Solution

The fourth proportional to 1,577.80, 2,362.86 and 1,063.24 is: 1,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.80 : 2,362.86 = 1,063.24 : x
  2. Step 2: Convert to fraction form
    1,577.80/2,362.86 = 1,063.24/x
  3. Step 3: Cross multiply
    1,577.80x = 2,362.86 × 1,063.24
  4. Step 4: Simplify right side
    1,577.80x = 2,512,287.27
  5. Step 5: Solve for x
    x = 2,512,287.27/1,577.80
  6. Step 6: Final answer
    x = 1,592.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.