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Finding the Fourth Proportional to 2,536.58, 3,800.70 and 1,560.62

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Solution

The fourth proportional to 2,536.58, 3,800.70 and 1,560.62 is: 2,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.58 : 3,800.70 = 1,560.62 : x
  2. Step 2: Convert to fraction form
    2,536.58/3,800.70 = 1,560.62/x
  3. Step 3: Cross multiply
    2,536.58x = 3,800.70 × 1,560.62
  4. Step 4: Simplify right side
    2,536.58x = 5,931,448.43
  5. Step 5: Solve for x
    x = 5,931,448.43/2,536.58
  6. Step 6: Final answer
    x = 2,338.36

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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.