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Finding the Fourth Proportional to 3,160.84, 4,741.49 and 969.29

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Solution

The fourth proportional to 3,160.84, 4,741.49 and 969.29 is: 1,454.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.84 : 4,741.49 = 969.29 : x
  2. Step 2: Convert to fraction form
    3,160.84/4,741.49 = 969.29/x
  3. Step 3: Cross multiply
    3,160.84x = 4,741.49 × 969.29
  4. Step 4: Simplify right side
    3,160.84x = 4,595,878.84
  5. Step 5: Solve for x
    x = 4,595,878.84/3,160.84
  6. Step 6: Final answer
    x = 1,454.01

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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.