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Finding the Fourth Proportional to 1,428.74, 2,142.81 and 402.50

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Solution

The fourth proportional to 1,428.74, 2,142.81 and 402.50 is: 603.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.74 : 2,142.81 = 402.50 : x
  2. Step 2: Convert to fraction form
    1,428.74/2,142.81 = 402.50/x
  3. Step 3: Cross multiply
    1,428.74x = 2,142.81 × 402.50
  4. Step 4: Simplify right side
    1,428.74x = 862,481.03
  5. Step 5: Solve for x
    x = 862,481.03/1,428.74
  6. Step 6: Final answer
    x = 603.67

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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.