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Finding the Fourth Proportional to 2,232.41, 3,347.55 and 999.83

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Solution

The fourth proportional to 2,232.41, 3,347.55 and 999.83 is: 1,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.41 : 3,347.55 = 999.83 : x
  2. Step 2: Convert to fraction form
    2,232.41/3,347.55 = 999.83/x
  3. Step 3: Cross multiply
    2,232.41x = 3,347.55 × 999.83
  4. Step 4: Simplify right side
    2,232.41x = 3,346,980.92
  5. Step 5: Solve for x
    x = 3,346,980.92/2,232.41
  6. Step 6: Final answer
    x = 1,499.27

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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.