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Finding the Fourth Proportional to 1,536.30, 2,120.08 and 873.19

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Solution

The fourth proportional to 1,536.30, 2,120.08 and 873.19 is: 1,204.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.30 : 2,120.08 = 873.19 : x
  2. Step 2: Convert to fraction form
    1,536.30/2,120.08 = 873.19/x
  3. Step 3: Cross multiply
    1,536.30x = 2,120.08 × 873.19
  4. Step 4: Simplify right side
    1,536.30x = 1,851,232.66
  5. Step 5: Solve for x
    x = 1,851,232.66/1,536.30
  6. Step 6: Final answer
    x = 1,204.99

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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.