Home / 1,598.70-2,398.05-1,157.25

Finding the Fourth Proportional to 1,598.70, 2,398.05 and 1,157.25

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Solution

The fourth proportional to 1,598.70, 2,398.05 and 1,157.25 is: 1,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.70 : 2,398.05 = 1,157.25 : x
  2. Step 2: Convert to fraction form
    1,598.70/2,398.05 = 1,157.25/x
  3. Step 3: Cross multiply
    1,598.70x = 2,398.05 × 1,157.25
  4. Step 4: Simplify right side
    1,598.70x = 2,775,143.36
  5. Step 5: Solve for x
    x = 2,775,143.36/1,598.70
  6. Step 6: Final answer
    x = 1,735.88

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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.