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Finding the Fourth Proportional to 1,749.33, 2,623.64 and 579.38

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Solution

The fourth proportional to 1,749.33, 2,623.64 and 579.38 is: 868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.33 : 2,623.64 = 579.38 : x
  2. Step 2: Convert to fraction form
    1,749.33/2,623.64 = 579.38/x
  3. Step 3: Cross multiply
    1,749.33x = 2,623.64 × 579.38
  4. Step 4: Simplify right side
    1,749.33x = 1,520,068.53
  5. Step 5: Solve for x
    x = 1,520,068.53/1,749.33
  6. Step 6: Final answer
    x = 868.94

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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.