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Finding the Fourth Proportional to 2,492.58, 3,736.68 and 954.66

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Solution

The fourth proportional to 2,492.58, 3,736.68 and 954.66 is: 1,431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.58 : 3,736.68 = 954.66 : x
  2. Step 2: Convert to fraction form
    2,492.58/3,736.68 = 954.66/x
  3. Step 3: Cross multiply
    2,492.58x = 3,736.68 × 954.66
  4. Step 4: Simplify right side
    2,492.58x = 3,567,258.93
  5. Step 5: Solve for x
    x = 3,567,258.93/2,492.58
  6. Step 6: Final answer
    x = 1,431.15

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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.