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Finding the Fourth Proportional to 3,070.34, 4,605.61 and 849.33

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Solution

The fourth proportional to 3,070.34, 4,605.61 and 849.33 is: 1,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.34 : 4,605.61 = 849.33 : x
  2. Step 2: Convert to fraction form
    3,070.34/4,605.61 = 849.33/x
  3. Step 3: Cross multiply
    3,070.34x = 4,605.61 × 849.33
  4. Step 4: Simplify right side
    3,070.34x = 3,911,680.62
  5. Step 5: Solve for x
    x = 3,911,680.62/3,070.34
  6. Step 6: Final answer
    x = 1,274.02

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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.