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Finding the Fourth Proportional to 1,614.52, 2,213.48 and 1,585.36

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Solution

The fourth proportional to 1,614.52, 2,213.48 and 1,585.36 is: 2,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.52 : 2,213.48 = 1,585.36 : x
  2. Step 2: Convert to fraction form
    1,614.52/2,213.48 = 1,585.36/x
  3. Step 3: Cross multiply
    1,614.52x = 2,213.48 × 1,585.36
  4. Step 4: Simplify right side
    1,614.52x = 3,509,162.65
  5. Step 5: Solve for x
    x = 3,509,162.65/1,614.52
  6. Step 6: Final answer
    x = 2,173.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.