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Finding the Fourth Proportional to 1,830.64, 2,745.93 and 462.64

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Solution

The fourth proportional to 1,830.64, 2,745.93 and 462.64 is: 693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.64 : 2,745.93 = 462.64 : x
  2. Step 2: Convert to fraction form
    1,830.64/2,745.93 = 462.64/x
  3. Step 3: Cross multiply
    1,830.64x = 2,745.93 × 462.64
  4. Step 4: Simplify right side
    1,830.64x = 1,270,377.06
  5. Step 5: Solve for x
    x = 1,270,377.06/1,830.64
  6. Step 6: Final answer
    x = 693.95

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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.