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Finding the Fourth Proportional to 2,378.68, 3,282.04 and 1,494.16

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Solution

The fourth proportional to 2,378.68, 3,282.04 and 1,494.16 is: 2,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.68 : 3,282.04 = 1,494.16 : x
  2. Step 2: Convert to fraction form
    2,378.68/3,282.04 = 1,494.16/x
  3. Step 3: Cross multiply
    2,378.68x = 3,282.04 × 1,494.16
  4. Step 4: Simplify right side
    2,378.68x = 4,903,892.89
  5. Step 5: Solve for x
    x = 4,903,892.89/2,378.68
  6. Step 6: Final answer
    x = 2,061.60

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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.