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Finding the Fourth Proportional to 2,461.56, 3,396.10 and 1,577.85

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Solution

The fourth proportional to 2,461.56, 3,396.10 and 1,577.85 is: 2,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.56 : 3,396.10 = 1,577.85 : x
  2. Step 2: Convert to fraction form
    2,461.56/3,396.10 = 1,577.85/x
  3. Step 3: Cross multiply
    2,461.56x = 3,396.10 × 1,577.85
  4. Step 4: Simplify right side
    2,461.56x = 5,358,528.50
  5. Step 5: Solve for x
    x = 5,358,528.50/2,461.56
  6. Step 6: Final answer
    x = 2,176.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.