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Finding the Fourth Proportional to 2,756.79, 4,125.47 and 2,102.31

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Solution

The fourth proportional to 2,756.79, 4,125.47 and 2,102.31 is: 3,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.79 : 4,125.47 = 2,102.31 : x
  2. Step 2: Convert to fraction form
    2,756.79/4,125.47 = 2,102.31/x
  3. Step 3: Cross multiply
    2,756.79x = 4,125.47 × 2,102.31
  4. Step 4: Simplify right side
    2,756.79x = 8,673,006.32
  5. Step 5: Solve for x
    x = 8,673,006.32/2,756.79
  6. Step 6: Final answer
    x = 3,146.05

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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.