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Finding the Fourth Proportional to 2,050, 2,829 and 1,314

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Solution

The fourth proportional to 2,050, 2,829 and 1,314 is: 1,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050 : 2,829 = 1,314 : x
  2. Step 2: Convert to fraction form
    2,050/2,829 = 1,314/x
  3. Step 3: Cross multiply
    2,050x = 2,829 × 1,314
  4. Step 4: Simplify right side
    2,050x = 3,717,306
  5. Step 5: Solve for x
    x = 3,717,306/2,050
  6. Step 6: Final answer
    x = 1,813.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.