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Finding the Fourth Proportional to 1,475.29, 2,206.86 and 1,310.86

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Solution

The fourth proportional to 1,475.29, 2,206.86 and 1,310.86 is: 1,960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.29 : 2,206.86 = 1,310.86 : x
  2. Step 2: Convert to fraction form
    1,475.29/2,206.86 = 1,310.86/x
  3. Step 3: Cross multiply
    1,475.29x = 2,206.86 × 1,310.86
  4. Step 4: Simplify right side
    1,475.29x = 2,892,884.50
  5. Step 5: Solve for x
    x = 2,892,884.50/1,475.29
  6. Step 6: Final answer
    x = 1,960.89

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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.