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Finding the Fourth Proportional to 2,411.90, 3,618.27 and 768.14

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Solution

The fourth proportional to 2,411.90, 3,618.27 and 768.14 is: 1,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.90 : 3,618.27 = 768.14 : x
  2. Step 2: Convert to fraction form
    2,411.90/3,618.27 = 768.14/x
  3. Step 3: Cross multiply
    2,411.90x = 3,618.27 × 768.14
  4. Step 4: Simplify right side
    2,411.90x = 2,779,337.92
  5. Step 5: Solve for x
    x = 2,779,337.92/2,411.90
  6. Step 6: Final answer
    x = 1,152.34

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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.