Home / 1,525.97-2,107.56-1,027.74

Finding the Fourth Proportional to 1,525.97, 2,107.56 and 1,027.74

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Solution

The fourth proportional to 1,525.97, 2,107.56 and 1,027.74 is: 1,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.97 : 2,107.56 = 1,027.74 : x
  2. Step 2: Convert to fraction form
    1,525.97/2,107.56 = 1,027.74/x
  3. Step 3: Cross multiply
    1,525.97x = 2,107.56 × 1,027.74
  4. Step 4: Simplify right side
    1,525.97x = 2,166,023.71
  5. Step 5: Solve for x
    x = 2,166,023.71/1,525.97
  6. Step 6: Final answer
    x = 1,419.44

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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.