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Finding the Fourth Proportional to 2,761.99, 4,142.90 and 912.35

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Solution

The fourth proportional to 2,761.99, 4,142.90 and 912.35 is: 1,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.99 : 4,142.90 = 912.35 : x
  2. Step 2: Convert to fraction form
    2,761.99/4,142.90 = 912.35/x
  3. Step 3: Cross multiply
    2,761.99x = 4,142.90 × 912.35
  4. Step 4: Simplify right side
    2,761.99x = 3,779,787.45
  5. Step 5: Solve for x
    x = 3,779,787.45/2,761.99
  6. Step 6: Final answer
    x = 1,368.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.