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Finding the Fourth Proportional to 1,970.42, 2,955.82 and 995.90

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Solution

The fourth proportional to 1,970.42, 2,955.82 and 995.90 is: 1,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.42 : 2,955.82 = 995.90 : x
  2. Step 2: Convert to fraction form
    1,970.42/2,955.82 = 995.90/x
  3. Step 3: Cross multiply
    1,970.42x = 2,955.82 × 995.90
  4. Step 4: Simplify right side
    1,970.42x = 2,943,701.14
  5. Step 5: Solve for x
    x = 2,943,701.14/1,970.42
  6. Step 6: Final answer
    x = 1,493.95

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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.