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Finding the Fourth Proportional to 4,294.86, 6,442.86 and 1,662.30

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Solution

The fourth proportional to 4,294.86, 6,442.86 and 1,662.30 is: 2,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.86 : 6,442.86 = 1,662.30 : x
  2. Step 2: Convert to fraction form
    4,294.86/6,442.86 = 1,662.30/x
  3. Step 3: Cross multiply
    4,294.86x = 6,442.86 × 1,662.30
  4. Step 4: Simplify right side
    4,294.86x = 10,709,966.18
  5. Step 5: Solve for x
    x = 10,709,966.18/4,294.86
  6. Step 6: Final answer
    x = 2,493.67

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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.