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Finding the Fourth Proportional to 3,005.13, 4,507.98 and 813.88

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Solution

The fourth proportional to 3,005.13, 4,507.98 and 813.88 is: 1,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.13 : 4,507.98 = 813.88 : x
  2. Step 2: Convert to fraction form
    3,005.13/4,507.98 = 813.88/x
  3. Step 3: Cross multiply
    3,005.13x = 4,507.98 × 813.88
  4. Step 4: Simplify right side
    3,005.13x = 3,668,954.76
  5. Step 5: Solve for x
    x = 3,668,954.76/3,005.13
  6. Step 6: Final answer
    x = 1,220.90

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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.