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Finding the Fourth Proportional to 4,270.65, 6,406.02 and 1,348.98

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Solution

The fourth proportional to 4,270.65, 6,406.02 and 1,348.98 is: 2,023.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.65 : 6,406.02 = 1,348.98 : x
  2. Step 2: Convert to fraction form
    4,270.65/6,406.02 = 1,348.98/x
  3. Step 3: Cross multiply
    4,270.65x = 6,406.02 × 1,348.98
  4. Step 4: Simplify right side
    4,270.65x = 8,641,592.86
  5. Step 5: Solve for x
    x = 8,641,592.86/4,270.65
  6. Step 6: Final answer
    x = 2,023.48

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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.