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Finding the Fourth Proportional to 1,234.67, 1,850.41 and 924.08

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Solution

The fourth proportional to 1,234.67, 1,850.41 and 924.08 is: 1,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.67 : 1,850.41 = 924.08 : x
  2. Step 2: Convert to fraction form
    1,234.67/1,850.41 = 924.08/x
  3. Step 3: Cross multiply
    1,234.67x = 1,850.41 × 924.08
  4. Step 4: Simplify right side
    1,234.67x = 1,709,929.19
  5. Step 5: Solve for x
    x = 1,709,929.19/1,234.67
  6. Step 6: Final answer
    x = 1,384.93

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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.