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Finding the Fourth Proportional to 3,145.99, 4,341.30 and 1,729.86

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Solution

The fourth proportional to 3,145.99, 4,341.30 and 1,729.86 is: 2,387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.99 : 4,341.30 = 1,729.86 : x
  2. Step 2: Convert to fraction form
    3,145.99/4,341.30 = 1,729.86/x
  3. Step 3: Cross multiply
    3,145.99x = 4,341.30 × 1,729.86
  4. Step 4: Simplify right side
    3,145.99x = 7,509,841.22
  5. Step 5: Solve for x
    x = 7,509,841.22/3,145.99
  6. Step 6: Final answer
    x = 2,387.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.