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Finding the Fourth Proportional to 3,045.90, 4,567.49 and 965.52

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Solution

The fourth proportional to 3,045.90, 4,567.49 and 965.52 is: 1,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.90 : 4,567.49 = 965.52 : x
  2. Step 2: Convert to fraction form
    3,045.90/4,567.49 = 965.52/x
  3. Step 3: Cross multiply
    3,045.90x = 4,567.49 × 965.52
  4. Step 4: Simplify right side
    3,045.90x = 4,410,001.74
  5. Step 5: Solve for x
    x = 4,410,001.74/3,045.90
  6. Step 6: Final answer
    x = 1,447.85

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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.