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Finding the Fourth Proportional to 2,343.19, 3,512.11 and 782.83

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Solution

The fourth proportional to 2,343.19, 3,512.11 and 782.83 is: 1,173.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.19 : 3,512.11 = 782.83 : x
  2. Step 2: Convert to fraction form
    2,343.19/3,512.11 = 782.83/x
  3. Step 3: Cross multiply
    2,343.19x = 3,512.11 × 782.83
  4. Step 4: Simplify right side
    2,343.19x = 2,749,385.07
  5. Step 5: Solve for x
    x = 2,749,385.07/2,343.19
  6. Step 6: Final answer
    x = 1,173.35

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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.