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Finding the Fourth Proportional to 3,117.63, 4,673.80 and 1,450.89

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Solution

The fourth proportional to 3,117.63, 4,673.80 and 1,450.89 is: 2,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.63 : 4,673.80 = 1,450.89 : x
  2. Step 2: Convert to fraction form
    3,117.63/4,673.80 = 1,450.89/x
  3. Step 3: Cross multiply
    3,117.63x = 4,673.80 × 1,450.89
  4. Step 4: Simplify right side
    3,117.63x = 6,781,174.44
  5. Step 5: Solve for x
    x = 6,781,174.44/3,117.63
  6. Step 6: Final answer
    x = 2,175.11

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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.