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Finding the Fourth Proportional to 3,009.76, 4,513.50 and 1,159.48

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Solution

The fourth proportional to 3,009.76, 4,513.50 and 1,159.48 is: 1,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.76 : 4,513.50 = 1,159.48 : x
  2. Step 2: Convert to fraction form
    3,009.76/4,513.50 = 1,159.48/x
  3. Step 3: Cross multiply
    3,009.76x = 4,513.50 × 1,159.48
  4. Step 4: Simplify right side
    3,009.76x = 5,233,312.98
  5. Step 5: Solve for x
    x = 5,233,312.98/3,009.76
  6. Step 6: Final answer
    x = 1,738.78

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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.