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Finding the Fourth Proportional to 2,310.75, 3,465.87 and 579.38

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Solution

The fourth proportional to 2,310.75, 3,465.87 and 579.38 is: 869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.75 : 3,465.87 = 579.38 : x
  2. Step 2: Convert to fraction form
    2,310.75/3,465.87 = 579.38/x
  3. Step 3: Cross multiply
    2,310.75x = 3,465.87 × 579.38
  4. Step 4: Simplify right side
    2,310.75x = 2,008,038.43
  5. Step 5: Solve for x
    x = 2,008,038.43/2,310.75
  6. Step 6: Final answer
    x = 869.00

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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.