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Finding the Fourth Proportional to 2,115.07, 3,172.60 and 576.07

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Solution

The fourth proportional to 2,115.07, 3,172.60 and 576.07 is: 864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.07 : 3,172.60 = 576.07 : x
  2. Step 2: Convert to fraction form
    2,115.07/3,172.60 = 576.07/x
  3. Step 3: Cross multiply
    2,115.07x = 3,172.60 × 576.07
  4. Step 4: Simplify right side
    2,115.07x = 1,827,623.82
  5. Step 5: Solve for x
    x = 1,827,623.82/2,115.07
  6. Step 6: Final answer
    x = 864.10

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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.