Home / 1,598.56-2,205.84-977.44

Finding the Fourth Proportional to 1,598.56, 2,205.84 and 977.44

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Solution

The fourth proportional to 1,598.56, 2,205.84 and 977.44 is: 1,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.56 : 2,205.84 = 977.44 : x
  2. Step 2: Convert to fraction form
    1,598.56/2,205.84 = 977.44/x
  3. Step 3: Cross multiply
    1,598.56x = 2,205.84 × 977.44
  4. Step 4: Simplify right side
    1,598.56x = 2,156,076.25
  5. Step 5: Solve for x
    x = 2,156,076.25/1,598.56
  6. Step 6: Final answer
    x = 1,348.76

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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.