Home / 1,461.58-2,183.80-1,410.54

Finding the Fourth Proportional to 1,461.58, 2,183.80 and 1,410.54

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Solution

The fourth proportional to 1,461.58, 2,183.80 and 1,410.54 is: 2,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.58 : 2,183.80 = 1,410.54 : x
  2. Step 2: Convert to fraction form
    1,461.58/2,183.80 = 1,410.54/x
  3. Step 3: Cross multiply
    1,461.58x = 2,183.80 × 1,410.54
  4. Step 4: Simplify right side
    1,461.58x = 3,080,337.25
  5. Step 5: Solve for x
    x = 3,080,337.25/1,461.58
  6. Step 6: Final answer
    x = 2,107.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.