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Finding the Fourth Proportional to 3,155.91, 4,355.15 and 1,830.38

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Solution

The fourth proportional to 3,155.91, 4,355.15 and 1,830.38 is: 2,525.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.91 : 4,355.15 = 1,830.38 : x
  2. Step 2: Convert to fraction form
    3,155.91/4,355.15 = 1,830.38/x
  3. Step 3: Cross multiply
    3,155.91x = 4,355.15 × 1,830.38
  4. Step 4: Simplify right side
    3,155.91x = 7,971,579.46
  5. Step 5: Solve for x
    x = 7,971,579.46/3,155.91
  6. Step 6: Final answer
    x = 2,525.92

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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.