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Finding the Fourth Proportional to 1,487.20, 2,054.34 and 1,142.20

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Solution

The fourth proportional to 1,487.20, 2,054.34 and 1,142.20 is: 1,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.20 : 2,054.34 = 1,142.20 : x
  2. Step 2: Convert to fraction form
    1,487.20/2,054.34 = 1,142.20/x
  3. Step 3: Cross multiply
    1,487.20x = 2,054.34 × 1,142.20
  4. Step 4: Simplify right side
    1,487.20x = 2,346,467.15
  5. Step 5: Solve for x
    x = 2,346,467.15/1,487.20
  6. Step 6: Final answer
    x = 1,577.78

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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.