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Finding the Fourth Proportional to 2,756.74, 3,800.48 and 2,670.58

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Solution

The fourth proportional to 2,756.74, 3,800.48 and 2,670.58 is: 3,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.74 : 3,800.48 = 2,670.58 : x
  2. Step 2: Convert to fraction form
    2,756.74/3,800.48 = 2,670.58/x
  3. Step 3: Cross multiply
    2,756.74x = 3,800.48 × 2,670.58
  4. Step 4: Simplify right side
    2,756.74x = 10,149,485.88
  5. Step 5: Solve for x
    x = 10,149,485.88/2,756.74
  6. Step 6: Final answer
    x = 3,681.70

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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.