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Finding the Fourth Proportional to 3,012.63, 4,518.48 and 821.53

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Solution

The fourth proportional to 3,012.63, 4,518.48 and 821.53 is: 1,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.63 : 4,518.48 = 821.53 : x
  2. Step 2: Convert to fraction form
    3,012.63/4,518.48 = 821.53/x
  3. Step 3: Cross multiply
    3,012.63x = 4,518.48 × 821.53
  4. Step 4: Simplify right side
    3,012.63x = 3,712,044.28
  5. Step 5: Solve for x
    x = 3,712,044.28/3,012.63
  6. Step 6: Final answer
    x = 1,232.16

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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.