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Finding the Fourth Proportional to 2,674.42, 4,012.71 and 1,031.86

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Solution

The fourth proportional to 2,674.42, 4,012.71 and 1,031.86 is: 1,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.42 : 4,012.71 = 1,031.86 : x
  2. Step 2: Convert to fraction form
    2,674.42/4,012.71 = 1,031.86/x
  3. Step 3: Cross multiply
    2,674.42x = 4,012.71 × 1,031.86
  4. Step 4: Simplify right side
    2,674.42x = 4,140,554.94
  5. Step 5: Solve for x
    x = 4,140,554.94/2,674.42
  6. Step 6: Final answer
    x = 1,548.21

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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.