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Finding the Fourth Proportional to 2,776.70, 4,156.34 and 1,540.15

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Solution

The fourth proportional to 2,776.70, 4,156.34 and 1,540.15 is: 2,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.70 : 4,156.34 = 1,540.15 : x
  2. Step 2: Convert to fraction form
    2,776.70/4,156.34 = 1,540.15/x
  3. Step 3: Cross multiply
    2,776.70x = 4,156.34 × 1,540.15
  4. Step 4: Simplify right side
    2,776.70x = 6,401,368.96
  5. Step 5: Solve for x
    x = 6,401,368.96/2,776.70
  6. Step 6: Final answer
    x = 2,305.39

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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.