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Finding the Fourth Proportional to 2,412.18, 3,618.53 and 768.15

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Solution

The fourth proportional to 2,412.18, 3,618.53 and 768.15 is: 1,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.18 : 3,618.53 = 768.15 : x
  2. Step 2: Convert to fraction form
    2,412.18/3,618.53 = 768.15/x
  3. Step 3: Cross multiply
    2,412.18x = 3,618.53 × 768.15
  4. Step 4: Simplify right side
    2,412.18x = 2,779,573.82
  5. Step 5: Solve for x
    x = 2,779,573.82/2,412.18
  6. Step 6: Final answer
    x = 1,152.31

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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.