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Finding the Fourth Proportional to 1,602.05, 2,405.12 and 872.13

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Solution

The fourth proportional to 1,602.05, 2,405.12 and 872.13 is: 1,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.05 : 2,405.12 = 872.13 : x
  2. Step 2: Convert to fraction form
    1,602.05/2,405.12 = 872.13/x
  3. Step 3: Cross multiply
    1,602.05x = 2,405.12 × 872.13
  4. Step 4: Simplify right side
    1,602.05x = 2,097,572.94
  5. Step 5: Solve for x
    x = 2,097,572.94/1,602.05
  6. Step 6: Final answer
    x = 1,309.31

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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.