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Finding the Fourth Proportional to 1,536.34, 2,119.90 and 872.95

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Solution

The fourth proportional to 1,536.34, 2,119.90 and 872.95 is: 1,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.34 : 2,119.90 = 872.95 : x
  2. Step 2: Convert to fraction form
    1,536.34/2,119.90 = 872.95/x
  3. Step 3: Cross multiply
    1,536.34x = 2,119.90 × 872.95
  4. Step 4: Simplify right side
    1,536.34x = 1,850,566.71
  5. Step 5: Solve for x
    x = 1,850,566.71/1,536.34
  6. Step 6: Final answer
    x = 1,204.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.