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Finding the Fourth Proportional to 3,322.54, 4,584.63 and 1,830.45

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Solution

The fourth proportional to 3,322.54, 4,584.63 and 1,830.45 is: 2,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.54 : 4,584.63 = 1,830.45 : x
  2. Step 2: Convert to fraction form
    3,322.54/4,584.63 = 1,830.45/x
  3. Step 3: Cross multiply
    3,322.54x = 4,584.63 × 1,830.45
  4. Step 4: Simplify right side
    3,322.54x = 8,391,935.98
  5. Step 5: Solve for x
    x = 8,391,935.98/3,322.54
  6. Step 6: Final answer
    x = 2,525.76

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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.