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Finding the Fourth Proportional to 2,898.75, 4,348.46 and 923.69

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Solution

The fourth proportional to 2,898.75, 4,348.46 and 923.69 is: 1,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.75 : 4,348.46 = 923.69 : x
  2. Step 2: Convert to fraction form
    2,898.75/4,348.46 = 923.69/x
  3. Step 3: Cross multiply
    2,898.75x = 4,348.46 × 923.69
  4. Step 4: Simplify right side
    2,898.75x = 4,016,607.28
  5. Step 5: Solve for x
    x = 4,016,607.28/2,898.75
  6. Step 6: Final answer
    x = 1,385.63

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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.