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Finding the Fourth Proportional to 2,953.84, 4,430.29 and 762.49

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Solution

The fourth proportional to 2,953.84, 4,430.29 and 762.49 is: 1,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.84 : 4,430.29 = 762.49 : x
  2. Step 2: Convert to fraction form
    2,953.84/4,430.29 = 762.49/x
  3. Step 3: Cross multiply
    2,953.84x = 4,430.29 × 762.49
  4. Step 4: Simplify right side
    2,953.84x = 3,378,051.82
  5. Step 5: Solve for x
    x = 3,378,051.82/2,953.84
  6. Step 6: Final answer
    x = 1,143.61

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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.