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Finding the Fourth Proportional to 2,274.64, 3,141.62 and 1,492.16

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Solution

The fourth proportional to 2,274.64, 3,141.62 and 1,492.16 is: 2,060.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.64 : 3,141.62 = 1,492.16 : x
  2. Step 2: Convert to fraction form
    2,274.64/3,141.62 = 1,492.16/x
  3. Step 3: Cross multiply
    2,274.64x = 3,141.62 × 1,492.16
  4. Step 4: Simplify right side
    2,274.64x = 4,687,799.70
  5. Step 5: Solve for x
    x = 4,687,799.70/2,274.64
  6. Step 6: Final answer
    x = 2,060.90

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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.