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Finding the Fourth Proportional to 2,406.94, 3,321.57 and 1,302.94

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Solution

The fourth proportional to 2,406.94, 3,321.57 and 1,302.94 is: 1,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.94 : 3,321.57 = 1,302.94 : x
  2. Step 2: Convert to fraction form
    2,406.94/3,321.57 = 1,302.94/x
  3. Step 3: Cross multiply
    2,406.94x = 3,321.57 × 1,302.94
  4. Step 4: Simplify right side
    2,406.94x = 4,327,803.00
  5. Step 5: Solve for x
    x = 4,327,803.00/2,406.94
  6. Step 6: Final answer
    x = 1,798.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.