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Finding the Fourth Proportional to 1,675.21, 2,311.90 and 929.20

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Solution

The fourth proportional to 1,675.21, 2,311.90 and 929.20 is: 1,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.21 : 2,311.90 = 929.20 : x
  2. Step 2: Convert to fraction form
    1,675.21/2,311.90 = 929.20/x
  3. Step 3: Cross multiply
    1,675.21x = 2,311.90 × 929.20
  4. Step 4: Simplify right side
    1,675.21x = 2,148,217.48
  5. Step 5: Solve for x
    x = 2,148,217.48/1,675.21
  6. Step 6: Final answer
    x = 1,282.36

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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.