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Finding the Fourth Proportional to 1,693.80, 2,540.88 and 598.02

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Solution

The fourth proportional to 1,693.80, 2,540.88 and 598.02 is: 897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.80 : 2,540.88 = 598.02 : x
  2. Step 2: Convert to fraction form
    1,693.80/2,540.88 = 598.02/x
  3. Step 3: Cross multiply
    1,693.80x = 2,540.88 × 598.02
  4. Step 4: Simplify right side
    1,693.80x = 1,519,497.06
  5. Step 5: Solve for x
    x = 1,519,497.06/1,693.80
  6. Step 6: Final answer
    x = 897.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.