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Finding the Fourth Proportional to 2,909.79, 4,357.94 and 1,674.14

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Solution

The fourth proportional to 2,909.79, 4,357.94 and 1,674.14 is: 2,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.79 : 4,357.94 = 1,674.14 : x
  2. Step 2: Convert to fraction form
    2,909.79/4,357.94 = 1,674.14/x
  3. Step 3: Cross multiply
    2,909.79x = 4,357.94 × 1,674.14
  4. Step 4: Simplify right side
    2,909.79x = 7,295,771.51
  5. Step 5: Solve for x
    x = 7,295,771.51/2,909.79
  6. Step 6: Final answer
    x = 2,507.32

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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.