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Finding the Fourth Proportional to 2,953.64, 4,429.50 and 1,310.12

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Solution

The fourth proportional to 2,953.64, 4,429.50 and 1,310.12 is: 1,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.64 : 4,429.50 = 1,310.12 : x
  2. Step 2: Convert to fraction form
    2,953.64/4,429.50 = 1,310.12/x
  3. Step 3: Cross multiply
    2,953.64x = 4,429.50 × 1,310.12
  4. Step 4: Simplify right side
    2,953.64x = 5,803,176.54
  5. Step 5: Solve for x
    x = 5,803,176.54/2,953.64
  6. Step 6: Final answer
    x = 1,964.75

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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.