Home / 1,536.08-2,301.69-804.92

Finding the Fourth Proportional to 1,536.08, 2,301.69 and 804.92

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Solution

The fourth proportional to 1,536.08, 2,301.69 and 804.92 is: 1,206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.08 : 2,301.69 = 804.92 : x
  2. Step 2: Convert to fraction form
    1,536.08/2,301.69 = 804.92/x
  3. Step 3: Cross multiply
    1,536.08x = 2,301.69 × 804.92
  4. Step 4: Simplify right side
    1,536.08x = 1,852,676.31
  5. Step 5: Solve for x
    x = 1,852,676.31/1,536.08
  6. Step 6: Final answer
    x = 1,206.11

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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.