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Finding the Fourth Proportional to 1,709.38, 2,564.88 and 735.76

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Solution

The fourth proportional to 1,709.38, 2,564.88 and 735.76 is: 1,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.38 : 2,564.88 = 735.76 : x
  2. Step 2: Convert to fraction form
    1,709.38/2,564.88 = 735.76/x
  3. Step 3: Cross multiply
    1,709.38x = 2,564.88 × 735.76
  4. Step 4: Simplify right side
    1,709.38x = 1,887,136.11
  5. Step 5: Solve for x
    x = 1,887,136.11/1,709.38
  6. Step 6: Final answer
    x = 1,103.99

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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.