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Finding the Fourth Proportional to 2,035.29, 3,051.07 and 736.45

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Solution

The fourth proportional to 2,035.29, 3,051.07 and 736.45 is: 1,104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.29 : 3,051.07 = 736.45 : x
  2. Step 2: Convert to fraction form
    2,035.29/3,051.07 = 736.45/x
  3. Step 3: Cross multiply
    2,035.29x = 3,051.07 × 736.45
  4. Step 4: Simplify right side
    2,035.29x = 2,246,960.50
  5. Step 5: Solve for x
    x = 2,246,960.50/2,035.29
  6. Step 6: Final answer
    x = 1,104.00

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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.