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Finding the Fourth Proportional to 2,577.44, 3,856.44 and 1,482.32

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Solution

The fourth proportional to 2,577.44, 3,856.44 and 1,482.32 is: 2,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.44 : 3,856.44 = 1,482.32 : x
  2. Step 2: Convert to fraction form
    2,577.44/3,856.44 = 1,482.32/x
  3. Step 3: Cross multiply
    2,577.44x = 3,856.44 × 1,482.32
  4. Step 4: Simplify right side
    2,577.44x = 5,716,478.14
  5. Step 5: Solve for x
    x = 5,716,478.14/2,577.44
  6. Step 6: Final answer
    x = 2,217.89

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Why These Related Problems?

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