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Finding the Fourth Proportional to 2,457.68, 3,394.12 and 2,106.32

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Solution

The fourth proportional to 2,457.68, 3,394.12 and 2,106.32 is: 2,908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.68 : 3,394.12 = 2,106.32 : x
  2. Step 2: Convert to fraction form
    2,457.68/3,394.12 = 2,106.32/x
  3. Step 3: Cross multiply
    2,457.68x = 3,394.12 × 2,106.32
  4. Step 4: Simplify right side
    2,457.68x = 7,149,102.84
  5. Step 5: Solve for x
    x = 7,149,102.84/2,457.68
  6. Step 6: Final answer
    x = 2,908.88

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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.