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Finding the Fourth Proportional to 2,782.32, 4,173.42 and 1,320.42

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Solution

The fourth proportional to 2,782.32, 4,173.42 and 1,320.42 is: 1,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.32 : 4,173.42 = 1,320.42 : x
  2. Step 2: Convert to fraction form
    2,782.32/4,173.42 = 1,320.42/x
  3. Step 3: Cross multiply
    2,782.32x = 4,173.42 × 1,320.42
  4. Step 4: Simplify right side
    2,782.32x = 5,510,667.24
  5. Step 5: Solve for x
    x = 5,510,667.24/2,782.32
  6. Step 6: Final answer
    x = 1,980.60

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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.