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Finding the Fourth Proportional to 2,782.79, 4,173.52 and 807.89

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Solution

The fourth proportional to 2,782.79, 4,173.52 and 807.89 is: 1,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.79 : 4,173.52 = 807.89 : x
  2. Step 2: Convert to fraction form
    2,782.79/4,173.52 = 807.89/x
  3. Step 3: Cross multiply
    2,782.79x = 4,173.52 × 807.89
  4. Step 4: Simplify right side
    2,782.79x = 3,371,720.17
  5. Step 5: Solve for x
    x = 3,371,720.17/2,782.79
  6. Step 6: Final answer
    x = 1,211.64

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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.