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Finding the Fourth Proportional to 1,693.62, 2,540.82 and 598.01

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Solution

The fourth proportional to 1,693.62, 2,540.82 and 598.01 is: 897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.62 : 2,540.82 = 598.01 : x
  2. Step 2: Convert to fraction form
    1,693.62/2,540.82 = 598.01/x
  3. Step 3: Cross multiply
    1,693.62x = 2,540.82 × 598.01
  4. Step 4: Simplify right side
    1,693.62x = 1,519,423.06
  5. Step 5: Solve for x
    x = 1,519,423.06/1,693.62
  6. Step 6: Final answer
    x = 897.15

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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.