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Finding the Fourth Proportional to 2,709.55, 3,738.45 and 1,646.47

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Solution

The fourth proportional to 2,709.55, 3,738.45 and 1,646.47 is: 2,271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.55 : 3,738.45 = 1,646.47 : x
  2. Step 2: Convert to fraction form
    2,709.55/3,738.45 = 1,646.47/x
  3. Step 3: Cross multiply
    2,709.55x = 3,738.45 × 1,646.47
  4. Step 4: Simplify right side
    2,709.55x = 6,155,245.77
  5. Step 5: Solve for x
    x = 6,155,245.77/2,709.55
  6. Step 6: Final answer
    x = 2,271.69

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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.