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Finding the Fourth Proportional to 2,464.94, 3,697.49 and 821.63

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Solution

The fourth proportional to 2,464.94, 3,697.49 and 821.63 is: 1,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.94 : 3,697.49 = 821.63 : x
  2. Step 2: Convert to fraction form
    2,464.94/3,697.49 = 821.63/x
  3. Step 3: Cross multiply
    2,464.94x = 3,697.49 × 821.63
  4. Step 4: Simplify right side
    2,464.94x = 3,037,980.01
  5. Step 5: Solve for x
    x = 3,037,980.01/2,464.94
  6. Step 6: Final answer
    x = 1,232.47

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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.