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Finding the Fourth Proportional to 3,044.61, 4,567.21 and 853.33

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Solution

The fourth proportional to 3,044.61, 4,567.21 and 853.33 is: 1,280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.61 : 4,567.21 = 853.33 : x
  2. Step 2: Convert to fraction form
    3,044.61/4,567.21 = 853.33/x
  3. Step 3: Cross multiply
    3,044.61x = 4,567.21 × 853.33
  4. Step 4: Simplify right side
    3,044.61x = 3,897,344.46
  5. Step 5: Solve for x
    x = 3,897,344.46/3,044.61
  6. Step 6: Final answer
    x = 1,280.08

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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.