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Finding the Fourth Proportional to 2,412.86, 3,617.21 and 933.13

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Solution

The fourth proportional to 2,412.86, 3,617.21 and 933.13 is: 1,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.86 : 3,617.21 = 933.13 : x
  2. Step 2: Convert to fraction form
    2,412.86/3,617.21 = 933.13/x
  3. Step 3: Cross multiply
    2,412.86x = 3,617.21 × 933.13
  4. Step 4: Simplify right side
    2,412.86x = 3,375,320.46
  5. Step 5: Solve for x
    x = 3,375,320.46/2,412.86
  6. Step 6: Final answer
    x = 1,398.89

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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.