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Finding the Fourth Proportional to 1,833.02, 2,531.03 and 1,693.09

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Solution

The fourth proportional to 1,833.02, 2,531.03 and 1,693.09 is: 2,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.02 : 2,531.03 = 1,693.09 : x
  2. Step 2: Convert to fraction form
    1,833.02/2,531.03 = 1,693.09/x
  3. Step 3: Cross multiply
    1,833.02x = 2,531.03 × 1,693.09
  4. Step 4: Simplify right side
    1,833.02x = 4,285,242.04
  5. Step 5: Solve for x
    x = 4,285,242.04/1,833.02
  6. Step 6: Final answer
    x = 2,337.80

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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.