Home / 1,536.24-2,299.68-1,098.03

Finding the Fourth Proportional to 1,536.24, 2,299.68 and 1,098.03

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Solution

The fourth proportional to 1,536.24, 2,299.68 and 1,098.03 is: 1,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.24 : 2,299.68 = 1,098.03 : x
  2. Step 2: Convert to fraction form
    1,536.24/2,299.68 = 1,098.03/x
  3. Step 3: Cross multiply
    1,536.24x = 2,299.68 × 1,098.03
  4. Step 4: Simplify right side
    1,536.24x = 2,525,117.63
  5. Step 5: Solve for x
    x = 2,525,117.63/1,536.24
  6. Step 6: Final answer
    x = 1,643.70

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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.