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Finding the Fourth Proportional to 2,701.76, 4,052.63 and 1,402.31

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Solution

The fourth proportional to 2,701.76, 4,052.63 and 1,402.31 is: 2,103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.76 : 4,052.63 = 1,402.31 : x
  2. Step 2: Convert to fraction form
    2,701.76/4,052.63 = 1,402.31/x
  3. Step 3: Cross multiply
    2,701.76x = 4,052.63 × 1,402.31
  4. Step 4: Simplify right side
    2,701.76x = 5,683,057.21
  5. Step 5: Solve for x
    x = 5,683,057.21/2,701.76
  6. Step 6: Final answer
    x = 2,103.47

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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.