Home / 1,525.32-2,277-1,409.58

Finding the Fourth Proportional to 1,525.32, 2,277 and 1,409.58

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Solution

The fourth proportional to 1,525.32, 2,277 and 1,409.58 is: 2,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.32 : 2,277 = 1,409.58 : x
  2. Step 2: Convert to fraction form
    1,525.32/2,277 = 1,409.58/x
  3. Step 3: Cross multiply
    1,525.32x = 2,277 × 1,409.58
  4. Step 4: Simplify right side
    1,525.32x = 3,209,613.66
  5. Step 5: Solve for x
    x = 3,209,613.66/1,525.32
  6. Step 6: Final answer
    x = 2,104.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.