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Finding the Fourth Proportional to 3,004.73, 4,507.10 and 813.40

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Solution

The fourth proportional to 3,004.73, 4,507.10 and 813.40 is: 1,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.73 : 4,507.10 = 813.40 : x
  2. Step 2: Convert to fraction form
    3,004.73/4,507.10 = 813.40/x
  3. Step 3: Cross multiply
    3,004.73x = 4,507.10 × 813.40
  4. Step 4: Simplify right side
    3,004.73x = 3,666,075.14
  5. Step 5: Solve for x
    x = 3,666,075.14/3,004.73
  6. Step 6: Final answer
    x = 1,220.10

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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.