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Finding the Fourth Proportional to 1,675.73, 2,312.49 and 929.69

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Solution

The fourth proportional to 1,675.73, 2,312.49 and 929.69 is: 1,282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.73 : 2,312.49 = 929.69 : x
  2. Step 2: Convert to fraction form
    1,675.73/2,312.49 = 929.69/x
  3. Step 3: Cross multiply
    1,675.73x = 2,312.49 × 929.69
  4. Step 4: Simplify right side
    1,675.73x = 2,149,887.27
  5. Step 5: Solve for x
    x = 2,149,887.27/1,675.73
  6. Step 6: Final answer
    x = 1,282.96

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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.