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Finding the Fourth Proportional to 3,156.84, 4,735.08 and 965.40

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Solution

The fourth proportional to 3,156.84, 4,735.08 and 965.40 is: 1,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.84 : 4,735.08 = 965.40 : x
  2. Step 2: Convert to fraction form
    3,156.84/4,735.08 = 965.40/x
  3. Step 3: Cross multiply
    3,156.84x = 4,735.08 × 965.40
  4. Step 4: Simplify right side
    3,156.84x = 4,571,246.23
  5. Step 5: Solve for x
    x = 4,571,246.23/3,156.84
  6. Step 6: Final answer
    x = 1,448.04

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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.