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Finding the Fourth Proportional to 2,950.59, 4,065.81 and 2,477.64

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Solution

The fourth proportional to 2,950.59, 4,065.81 and 2,477.64 is: 3,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.59 : 4,065.81 = 2,477.64 : x
  2. Step 2: Convert to fraction form
    2,950.59/4,065.81 = 2,477.64/x
  3. Step 3: Cross multiply
    2,950.59x = 4,065.81 × 2,477.64
  4. Step 4: Simplify right side
    2,950.59x = 10,073,613.49
  5. Step 5: Solve for x
    x = 10,073,613.49/2,950.59
  6. Step 6: Final answer
    x = 3,414.10

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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.