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Finding the Fourth Proportional to 1,536.21, 2,304.09 and 842.64

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Solution

The fourth proportional to 1,536.21, 2,304.09 and 842.64 is: 1,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.21 : 2,304.09 = 842.64 : x
  2. Step 2: Convert to fraction form
    1,536.21/2,304.09 = 842.64/x
  3. Step 3: Cross multiply
    1,536.21x = 2,304.09 × 842.64
  4. Step 4: Simplify right side
    1,536.21x = 1,941,518.40
  5. Step 5: Solve for x
    x = 1,941,518.40/1,536.21
  6. Step 6: Final answer
    x = 1,263.84

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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.