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Finding the Fourth Proportional to 1,736.20, 2,602.54 and 762.13

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Solution

The fourth proportional to 1,736.20, 2,602.54 and 762.13 is: 1,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.20 : 2,602.54 = 762.13 : x
  2. Step 2: Convert to fraction form
    1,736.20/2,602.54 = 762.13/x
  3. Step 3: Cross multiply
    1,736.20x = 2,602.54 × 762.13
  4. Step 4: Simplify right side
    1,736.20x = 1,983,473.81
  5. Step 5: Solve for x
    x = 1,983,473.81/1,736.20
  6. Step 6: Final answer
    x = 1,142.42

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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.