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Finding the Fourth Proportional to 1,257.79, 1,879.24 and 1,214.72

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Solution

The fourth proportional to 1,257.79, 1,879.24 and 1,214.72 is: 1,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.79 : 1,879.24 = 1,214.72 : x
  2. Step 2: Convert to fraction form
    1,257.79/1,879.24 = 1,214.72/x
  3. Step 3: Cross multiply
    1,257.79x = 1,879.24 × 1,214.72
  4. Step 4: Simplify right side
    1,257.79x = 2,282,752.07
  5. Step 5: Solve for x
    x = 2,282,752.07/1,257.79
  6. Step 6: Final answer
    x = 1,814.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.