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Finding the Fourth Proportional to 2,406.02, 3,605.07 and 2,314.94

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Solution

The fourth proportional to 2,406.02, 3,605.07 and 2,314.94 is: 3,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.02 : 3,605.07 = 2,314.94 : x
  2. Step 2: Convert to fraction form
    2,406.02/3,605.07 = 2,314.94/x
  3. Step 3: Cross multiply
    2,406.02x = 3,605.07 × 2,314.94
  4. Step 4: Simplify right side
    2,406.02x = 8,345,520.75
  5. Step 5: Solve for x
    x = 8,345,520.75/2,406.02
  6. Step 6: Final answer
    x = 3,468.60

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1.5x scale

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.