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Finding the Fourth Proportional to 2,492.88, 3,740.28 and 954.96

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Solution

The fourth proportional to 2,492.88, 3,740.28 and 954.96 is: 1,432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.88 : 3,740.28 = 954.96 : x
  2. Step 2: Convert to fraction form
    2,492.88/3,740.28 = 954.96/x
  3. Step 3: Cross multiply
    2,492.88x = 3,740.28 × 954.96
  4. Step 4: Simplify right side
    2,492.88x = 3,571,817.79
  5. Step 5: Solve for x
    x = 3,571,817.79/2,492.88
  6. Step 6: Final answer
    x = 1,432.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.