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Finding the Fourth Proportional to 4,566.68, 6,849.06 and 1,969.04

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Solution

The fourth proportional to 4,566.68, 6,849.06 and 1,969.04 is: 2,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.68 : 6,849.06 = 1,969.04 : x
  2. Step 2: Convert to fraction form
    4,566.68/6,849.06 = 1,969.04/x
  3. Step 3: Cross multiply
    4,566.68x = 6,849.06 × 1,969.04
  4. Step 4: Simplify right side
    4,566.68x = 13,486,073.10
  5. Step 5: Solve for x
    x = 13,486,073.10/4,566.68
  6. Step 6: Final answer
    x = 2,953.15

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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.