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Finding the Fourth Proportional to 2,310.56, 3,465.84 and 579.18

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Solution

The fourth proportional to 2,310.56, 3,465.84 and 579.18 is: 868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.56 : 3,465.84 = 579.18 : x
  2. Step 2: Convert to fraction form
    2,310.56/3,465.84 = 579.18/x
  3. Step 3: Cross multiply
    2,310.56x = 3,465.84 × 579.18
  4. Step 4: Simplify right side
    2,310.56x = 2,007,345.21
  5. Step 5: Solve for x
    x = 2,007,345.21/2,310.56
  6. Step 6: Final answer
    x = 868.77

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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.