Home / 1,525.26-2,102.40-1,027.74

Finding the Fourth Proportional to 1,525.26, 2,102.40 and 1,027.74

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Solution

The fourth proportional to 1,525.26, 2,102.40 and 1,027.74 is: 1,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.26 : 2,102.40 = 1,027.74 : x
  2. Step 2: Convert to fraction form
    1,525.26/2,102.40 = 1,027.74/x
  3. Step 3: Cross multiply
    1,525.26x = 2,102.40 × 1,027.74
  4. Step 4: Simplify right side
    1,525.26x = 2,160,720.58
  5. Step 5: Solve for x
    x = 2,160,720.58/1,525.26
  6. Step 6: Final answer
    x = 1,416.62

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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.