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Finding the Fourth Proportional to 4,689.15, 7,032.68 and 1,401.82

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Solution

The fourth proportional to 4,689.15, 7,032.68 and 1,401.82 is: 2,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.15 : 7,032.68 = 1,401.82 : x
  2. Step 2: Convert to fraction form
    4,689.15/7,032.68 = 1,401.82/x
  3. Step 3: Cross multiply
    4,689.15x = 7,032.68 × 1,401.82
  4. Step 4: Simplify right side
    4,689.15x = 9,858,516.31
  5. Step 5: Solve for x
    x = 9,858,516.31/4,689.15
  6. Step 6: Final answer
    x = 2,102.41

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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.