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Finding the Fourth Proportional to 2,312.19, 3,468.24 and 580.82

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Solution

The fourth proportional to 2,312.19, 3,468.24 and 580.82 is: 871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.19 : 3,468.24 = 580.82 : x
  2. Step 2: Convert to fraction form
    2,312.19/3,468.24 = 580.82/x
  3. Step 3: Cross multiply
    2,312.19x = 3,468.24 × 580.82
  4. Step 4: Simplify right side
    2,312.19x = 2,014,405.82
  5. Step 5: Solve for x
    x = 2,014,405.82/2,312.19
  6. Step 6: Final answer
    x = 871.21

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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.