Home / 1,536.08-2,304.12-844.16

Finding the Fourth Proportional to 1,536.08, 2,304.12 and 844.16

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Solution

The fourth proportional to 1,536.08, 2,304.12 and 844.16 is: 1,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.08 : 2,304.12 = 844.16 : x
  2. Step 2: Convert to fraction form
    1,536.08/2,304.12 = 844.16/x
  3. Step 3: Cross multiply
    1,536.08x = 2,304.12 × 844.16
  4. Step 4: Simplify right side
    1,536.08x = 1,945,045.94
  5. Step 5: Solve for x
    x = 1,945,045.94/1,536.08
  6. Step 6: Final answer
    x = 1,266.24

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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.