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Finding the Fourth Proportional to 3,004.13, 4,506.48 and 812.88

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Solution

The fourth proportional to 3,004.13, 4,506.48 and 812.88 is: 1,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.13 : 4,506.48 = 812.88 : x
  2. Step 2: Convert to fraction form
    3,004.13/4,506.48 = 812.88/x
  3. Step 3: Cross multiply
    3,004.13x = 4,506.48 × 812.88
  4. Step 4: Simplify right side
    3,004.13x = 3,663,227.46
  5. Step 5: Solve for x
    x = 3,663,227.46/3,004.13
  6. Step 6: Final answer
    x = 1,219.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.