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Finding the Fourth Proportional to 2,010.46, 2,775.03 and 1,224.89

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Solution

The fourth proportional to 2,010.46, 2,775.03 and 1,224.89 is: 1,690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.46 : 2,775.03 = 1,224.89 : x
  2. Step 2: Convert to fraction form
    2,010.46/2,775.03 = 1,224.89/x
  3. Step 3: Cross multiply
    2,010.46x = 2,775.03 × 1,224.89
  4. Step 4: Simplify right side
    2,010.46x = 3,399,106.50
  5. Step 5: Solve for x
    x = 3,399,106.50/2,010.46
  6. Step 6: Final answer
    x = 1,690.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.