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Finding the Fourth Proportional to 1,814.00, 2,502.75 and 1,224.87

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Solution

The fourth proportional to 1,814.00, 2,502.75 and 1,224.87 is: 1,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.00 : 2,502.75 = 1,224.87 : x
  2. Step 2: Convert to fraction form
    1,814.00/2,502.75 = 1,224.87/x
  3. Step 3: Cross multiply
    1,814.00x = 2,502.75 × 1,224.87
  4. Step 4: Simplify right side
    1,814.00x = 3,065,545.79
  5. Step 5: Solve for x
    x = 3,065,545.79/1,814.00
  6. Step 6: Final answer
    x = 1,689.94

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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.