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Finding the Fourth Proportional to 2,482.95, 3,719.99 and 1,658.73

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Solution

The fourth proportional to 2,482.95, 3,719.99 and 1,658.73 is: 2,485.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.95 : 3,719.99 = 1,658.73 : x
  2. Step 2: Convert to fraction form
    2,482.95/3,719.99 = 1,658.73/x
  3. Step 3: Cross multiply
    2,482.95x = 3,719.99 × 1,658.73
  4. Step 4: Simplify right side
    2,482.95x = 6,170,456.94
  5. Step 5: Solve for x
    x = 6,170,456.94/2,482.95
  6. Step 6: Final answer
    x = 2,485.13

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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.