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Finding the Fourth Proportional to 2,889.93, 4,332.46 and 1,224.00

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Solution

The fourth proportional to 2,889.93, 4,332.46 and 1,224.00 is: 1,834.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.93 : 4,332.46 = 1,224.00 : x
  2. Step 2: Convert to fraction form
    2,889.93/4,332.46 = 1,224.00/x
  3. Step 3: Cross multiply
    2,889.93x = 4,332.46 × 1,224.00
  4. Step 4: Simplify right side
    2,889.93x = 5,302,927.62
  5. Step 5: Solve for x
    x = 5,302,927.62/2,889.93
  6. Step 6: Final answer
    x = 1,834.96

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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.