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Finding the Fourth Proportional to 1,232.34, 1,846.07 and 924.54

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Solution

The fourth proportional to 1,232.34, 1,846.07 and 924.54 is: 1,384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.34 : 1,846.07 = 924.54 : x
  2. Step 2: Convert to fraction form
    1,232.34/1,846.07 = 924.54/x
  3. Step 3: Cross multiply
    1,232.34x = 1,846.07 × 924.54
  4. Step 4: Simplify right side
    1,232.34x = 1,706,756.33
  5. Step 5: Solve for x
    x = 1,706,756.33/1,232.34
  6. Step 6: Final answer
    x = 1,384.98

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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.