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Finding the Fourth Proportional to 1,401.89, 2,101.81 and 708.24

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Solution

The fourth proportional to 1,401.89, 2,101.81 and 708.24 is: 1,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.89 : 2,101.81 = 708.24 : x
  2. Step 2: Convert to fraction form
    1,401.89/2,101.81 = 708.24/x
  3. Step 3: Cross multiply
    1,401.89x = 2,101.81 × 708.24
  4. Step 4: Simplify right side
    1,401.89x = 1,488,585.91
  5. Step 5: Solve for x
    x = 1,488,585.91/1,401.89
  6. Step 6: Final answer
    x = 1,061.84

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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.