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Finding the Fourth Proportional to 1,712.70, 2,569.67 and 890.96

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Solution

The fourth proportional to 1,712.70, 2,569.67 and 890.96 is: 1,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.70 : 2,569.67 = 890.96 : x
  2. Step 2: Convert to fraction form
    1,712.70/2,569.67 = 890.96/x
  3. Step 3: Cross multiply
    1,712.70x = 2,569.67 × 890.96
  4. Step 4: Simplify right side
    1,712.70x = 2,289,455.88
  5. Step 5: Solve for x
    x = 2,289,455.88/1,712.70
  6. Step 6: Final answer
    x = 1,336.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.