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Finding the Fourth Proportional to 3,012.47, 4,518.27 and 1,164.45

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Solution

The fourth proportional to 3,012.47, 4,518.27 and 1,164.45 is: 1,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.47 : 4,518.27 = 1,164.45 : x
  2. Step 2: Convert to fraction form
    3,012.47/4,518.27 = 1,164.45/x
  3. Step 3: Cross multiply
    3,012.47x = 4,518.27 × 1,164.45
  4. Step 4: Simplify right side
    3,012.47x = 5,261,299.50
  5. Step 5: Solve for x
    x = 5,261,299.50/3,012.47
  6. Step 6: Final answer
    x = 1,746.51

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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.