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Finding the Fourth Proportional to 2,309.00, 3,463.52 and 577.62

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Solution

The fourth proportional to 2,309.00, 3,463.52 and 577.62 is: 866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.00 : 3,463.52 = 577.62 : x
  2. Step 2: Convert to fraction form
    2,309.00/3,463.52 = 577.62/x
  3. Step 3: Cross multiply
    2,309.00x = 3,463.52 × 577.62
  4. Step 4: Simplify right side
    2,309.00x = 2,000,595.53
  5. Step 5: Solve for x
    x = 2,000,595.53/2,309.00
  6. Step 6: Final answer
    x = 866.44

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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.