Home / 1,417.44-1,954.56-1,164.48

Finding the Fourth Proportional to 1,417.44, 1,954.56 and 1,164.48

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Solution

The fourth proportional to 1,417.44, 1,954.56 and 1,164.48 is: 1,605.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.44 : 1,954.56 = 1,164.48 : x
  2. Step 2: Convert to fraction form
    1,417.44/1,954.56 = 1,164.48/x
  3. Step 3: Cross multiply
    1,417.44x = 1,954.56 × 1,164.48
  4. Step 4: Simplify right side
    1,417.44x = 2,276,046.03
  5. Step 5: Solve for x
    x = 2,276,046.03/1,417.44
  6. Step 6: Final answer
    x = 1,605.74

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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.