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Finding the Fourth Proportional to 2,178.91, 3,268.54 and 1,492.40

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Solution

The fourth proportional to 2,178.91, 3,268.54 and 1,492.40 is: 2,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.91 : 3,268.54 = 1,492.40 : x
  2. Step 2: Convert to fraction form
    2,178.91/3,268.54 = 1,492.40/x
  3. Step 3: Cross multiply
    2,178.91x = 3,268.54 × 1,492.40
  4. Step 4: Simplify right side
    2,178.91x = 4,877,967.84
  5. Step 5: Solve for x
    x = 4,877,967.84/2,178.91
  6. Step 6: Final answer
    x = 2,238.72

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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.