Home / 1,525.12-2,104.68-826.50

Finding the Fourth Proportional to 1,525.12, 2,104.68 and 826.50

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Solution

The fourth proportional to 1,525.12, 2,104.68 and 826.50 is: 1,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.12 : 2,104.68 = 826.50 : x
  2. Step 2: Convert to fraction form
    1,525.12/2,104.68 = 826.50/x
  3. Step 3: Cross multiply
    1,525.12x = 2,104.68 × 826.50
  4. Step 4: Simplify right side
    1,525.12x = 1,739,518.02
  5. Step 5: Solve for x
    x = 1,739,518.02/1,525.12
  6. Step 6: Final answer
    x = 1,140.58

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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.