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Finding the Fourth Proportional to 3,271.76, 4,903.71 and 1,514.39

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Solution

The fourth proportional to 3,271.76, 4,903.71 and 1,514.39 is: 2,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.76 : 4,903.71 = 1,514.39 : x
  2. Step 2: Convert to fraction form
    3,271.76/4,903.71 = 1,514.39/x
  3. Step 3: Cross multiply
    3,271.76x = 4,903.71 × 1,514.39
  4. Step 4: Simplify right side
    3,271.76x = 7,426,104.87
  5. Step 5: Solve for x
    x = 7,426,104.87/3,271.76
  6. Step 6: Final answer
    x = 2,269.76

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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.