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Finding the Fourth Proportional to 2,954.84, 4,429.51 and 1,310.48

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Solution

The fourth proportional to 2,954.84, 4,429.51 and 1,310.48 is: 1,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.84 : 4,429.51 = 1,310.48 : x
  2. Step 2: Convert to fraction form
    2,954.84/4,429.51 = 1,310.48/x
  3. Step 3: Cross multiply
    2,954.84x = 4,429.51 × 1,310.48
  4. Step 4: Simplify right side
    2,954.84x = 5,804,784.26
  5. Step 5: Solve for x
    x = 5,804,784.26/2,954.84
  6. Step 6: Final answer
    x = 1,964.50

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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.