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Finding the Fourth Proportional to 2,929.65, 4,394.70 and 849.69

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Solution

The fourth proportional to 2,929.65, 4,394.70 and 849.69 is: 1,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.65 : 4,394.70 = 849.69 : x
  2. Step 2: Convert to fraction form
    2,929.65/4,394.70 = 849.69/x
  3. Step 3: Cross multiply
    2,929.65x = 4,394.70 × 849.69
  4. Step 4: Simplify right side
    2,929.65x = 3,734,132.64
  5. Step 5: Solve for x
    x = 3,734,132.64/2,929.65
  6. Step 6: Final answer
    x = 1,274.60

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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.