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Finding the Fourth Proportional to 2,409.62, 3,312.50 and 2,072.28

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Solution

The fourth proportional to 2,409.62, 3,312.50 and 2,072.28 is: 2,848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.62 : 3,312.50 = 2,072.28 : x
  2. Step 2: Convert to fraction form
    2,409.62/3,312.50 = 2,072.28/x
  3. Step 3: Cross multiply
    2,409.62x = 3,312.50 × 2,072.28
  4. Step 4: Simplify right side
    2,409.62x = 6,864,427.50
  5. Step 5: Solve for x
    x = 6,864,427.50/2,409.62
  6. Step 6: Final answer
    x = 2,848.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.