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Finding the Fourth Proportional to 3,312.97, 4,969.45 and 847.79

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Solution

The fourth proportional to 3,312.97, 4,969.45 and 847.79 is: 1,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.97 : 4,969.45 = 847.79 : x
  2. Step 2: Convert to fraction form
    3,312.97/4,969.45 = 847.79/x
  3. Step 3: Cross multiply
    3,312.97x = 4,969.45 × 847.79
  4. Step 4: Simplify right side
    3,312.97x = 4,213,030.78
  5. Step 5: Solve for x
    x = 4,213,030.78/3,312.97
  6. Step 6: Final answer
    x = 1,271.68

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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.