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Finding the Fourth Proportional to 2,639.64, 3,956.66 and 995.46

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Solution

The fourth proportional to 2,639.64, 3,956.66 and 995.46 is: 1,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.64 : 3,956.66 = 995.46 : x
  2. Step 2: Convert to fraction form
    2,639.64/3,956.66 = 995.46/x
  3. Step 3: Cross multiply
    2,639.64x = 3,956.66 × 995.46
  4. Step 4: Simplify right side
    2,639.64x = 3,938,696.76
  5. Step 5: Solve for x
    x = 3,938,696.76/2,639.64
  6. Step 6: Final answer
    x = 1,492.13

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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.