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Finding the Fourth Proportional to 2,782.32, 4,173.53 and 835.89

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Solution

The fourth proportional to 2,782.32, 4,173.53 and 835.89 is: 1,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.32 : 4,173.53 = 835.89 : x
  2. Step 2: Convert to fraction form
    2,782.32/4,173.53 = 835.89/x
  3. Step 3: Cross multiply
    2,782.32x = 4,173.53 × 835.89
  4. Step 4: Simplify right side
    2,782.32x = 3,488,607.81
  5. Step 5: Solve for x
    x = 3,488,607.81/2,782.32
  6. Step 6: Final answer
    x = 1,253.85

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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.