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Finding the Fourth Proportional to 1,423.37, 2,128.68 and 928.46

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Solution

The fourth proportional to 1,423.37, 2,128.68 and 928.46 is: 1,388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.37 : 2,128.68 = 928.46 : x
  2. Step 2: Convert to fraction form
    1,423.37/2,128.68 = 928.46/x
  3. Step 3: Cross multiply
    1,423.37x = 2,128.68 × 928.46
  4. Step 4: Simplify right side
    1,423.37x = 1,976,399.55
  5. Step 5: Solve for x
    x = 1,976,399.55/1,423.37
  6. Step 6: Final answer
    x = 1,388.53

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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.