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Finding the Fourth Proportional to 2,492.91, 3,440.74 and 1,430.84

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Solution

The fourth proportional to 2,492.91, 3,440.74 and 1,430.84 is: 1,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.91 : 3,440.74 = 1,430.84 : x
  2. Step 2: Convert to fraction form
    2,492.91/3,440.74 = 1,430.84/x
  3. Step 3: Cross multiply
    2,492.91x = 3,440.74 × 1,430.84
  4. Step 4: Simplify right side
    2,492.91x = 4,923,141.27
  5. Step 5: Solve for x
    x = 4,923,141.27/2,492.91
  6. Step 6: Final answer
    x = 1,974.86

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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.