Home / 1,456.10-2,183.70-416.02

Finding the Fourth Proportional to 1,456.10, 2,183.70 and 416.02

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Solution

The fourth proportional to 1,456.10, 2,183.70 and 416.02 is: 623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.10 : 2,183.70 = 416.02 : x
  2. Step 2: Convert to fraction form
    1,456.10/2,183.70 = 416.02/x
  3. Step 3: Cross multiply
    1,456.10x = 2,183.70 × 416.02
  4. Step 4: Simplify right side
    1,456.10x = 908,462.87
  5. Step 5: Solve for x
    x = 908,462.87/1,456.10
  6. Step 6: Final answer
    x = 623.90

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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.