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Finding the Fourth Proportional to 1,536.07, 2,304.10 and 611.38

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Solution

The fourth proportional to 1,536.07, 2,304.10 and 611.38 is: 917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.07 : 2,304.10 = 611.38 : x
  2. Step 2: Convert to fraction form
    1,536.07/2,304.10 = 611.38/x
  3. Step 3: Cross multiply
    1,536.07x = 2,304.10 × 611.38
  4. Step 4: Simplify right side
    1,536.07x = 1,408,680.66
  5. Step 5: Solve for x
    x = 1,408,680.66/1,536.07
  6. Step 6: Final answer
    x = 917.07

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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.