Home / 1,468.24-2,027.04-971.68

Finding the Fourth Proportional to 1,468.24, 2,027.04 and 971.68

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Solution

The fourth proportional to 1,468.24, 2,027.04 and 971.68 is: 1,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.24 : 2,027.04 = 971.68 : x
  2. Step 2: Convert to fraction form
    1,468.24/2,027.04 = 971.68/x
  3. Step 3: Cross multiply
    1,468.24x = 2,027.04 × 971.68
  4. Step 4: Simplify right side
    1,468.24x = 1,969,634.23
  5. Step 5: Solve for x
    x = 1,969,634.23/1,468.24
  6. Step 6: Final answer
    x = 1,341.49

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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.