Home / 1,455.09-2,182.77-415.14

Finding the Fourth Proportional to 1,455.09, 2,182.77 and 415.14

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Solution

The fourth proportional to 1,455.09, 2,182.77 and 415.14 is: 622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.09 : 2,182.77 = 415.14 : x
  2. Step 2: Convert to fraction form
    1,455.09/2,182.77 = 415.14/x
  3. Step 3: Cross multiply
    1,455.09x = 2,182.77 × 415.14
  4. Step 4: Simplify right side
    1,455.09x = 906,155.14
  5. Step 5: Solve for x
    x = 906,155.14/1,455.09
  6. Step 6: Final answer
    x = 622.75

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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.