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Finding the Fourth Proportional to 2,312.85, 3,476.95 and 2,141.64

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Solution

The fourth proportional to 2,312.85, 3,476.95 and 2,141.64 is: 3,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.85 : 3,476.95 = 2,141.64 : x
  2. Step 2: Convert to fraction form
    2,312.85/3,476.95 = 2,141.64/x
  3. Step 3: Cross multiply
    2,312.85x = 3,476.95 × 2,141.64
  4. Step 4: Simplify right side
    2,312.85x = 7,446,369.84
  5. Step 5: Solve for x
    x = 7,446,369.84/2,312.85
  6. Step 6: Final answer
    x = 3,219.56

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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.