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Finding the Fourth Proportional to 2,400.64, 3,313.12 and 1,616.32

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Solution

The fourth proportional to 2,400.64, 3,313.12 and 1,616.32 is: 2,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.64 : 3,313.12 = 1,616.32 : x
  2. Step 2: Convert to fraction form
    2,400.64/3,313.12 = 1,616.32/x
  3. Step 3: Cross multiply
    2,400.64x = 3,313.12 × 1,616.32
  4. Step 4: Simplify right side
    2,400.64x = 5,355,062.12
  5. Step 5: Solve for x
    x = 5,355,062.12/2,400.64
  6. Step 6: Final answer
    x = 2,230.68

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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.