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Finding the Fourth Proportional to 2,483.34, 3,725.01 and 923.28

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Solution

The fourth proportional to 2,483.34, 3,725.01 and 923.28 is: 1,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.34 : 3,725.01 = 923.28 : x
  2. Step 2: Convert to fraction form
    2,483.34/3,725.01 = 923.28/x
  3. Step 3: Cross multiply
    2,483.34x = 3,725.01 × 923.28
  4. Step 4: Simplify right side
    2,483.34x = 3,439,227.23
  5. Step 5: Solve for x
    x = 3,439,227.23/2,483.34
  6. Step 6: Final answer
    x = 1,384.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.