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Finding the Fourth Proportional to 1,583.96, 2,375.21 and 926.46

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Solution

The fourth proportional to 1,583.96, 2,375.21 and 926.46 is: 1,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.96 : 2,375.21 = 926.46 : x
  2. Step 2: Convert to fraction form
    1,583.96/2,375.21 = 926.46/x
  3. Step 3: Cross multiply
    1,583.96x = 2,375.21 × 926.46
  4. Step 4: Simplify right side
    1,583.96x = 2,200,532.42
  5. Step 5: Solve for x
    x = 2,200,532.42/1,583.96
  6. Step 6: Final answer
    x = 1,389.26

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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.