Home / 1,695.32-2,536.80-1,002.30

Finding the Fourth Proportional to 1,695.32, 2,536.80 and 1,002.30

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Solution

The fourth proportional to 1,695.32, 2,536.80 and 1,002.30 is: 1,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.32 : 2,536.80 = 1,002.30 : x
  2. Step 2: Convert to fraction form
    1,695.32/2,536.80 = 1,002.30/x
  3. Step 3: Cross multiply
    1,695.32x = 2,536.80 × 1,002.30
  4. Step 4: Simplify right side
    1,695.32x = 2,542,634.64
  5. Step 5: Solve for x
    x = 2,542,634.64/1,695.32
  6. Step 6: Final answer
    x = 1,499.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.