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Finding the Fourth Proportional to 1,898.24, 2,845.68 and 923.36

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Solution

The fourth proportional to 1,898.24, 2,845.68 and 923.36 is: 1,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.24 : 2,845.68 = 923.36 : x
  2. Step 2: Convert to fraction form
    1,898.24/2,845.68 = 923.36/x
  3. Step 3: Cross multiply
    1,898.24x = 2,845.68 × 923.36
  4. Step 4: Simplify right side
    1,898.24x = 2,627,587.08
  5. Step 5: Solve for x
    x = 2,627,587.08/1,898.24
  6. Step 6: Final answer
    x = 1,384.22

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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.