Home / 1,670.46-2,504.82-977.28

Finding the Fourth Proportional to 1,670.46, 2,504.82 and 977.28

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Solution

The fourth proportional to 1,670.46, 2,504.82 and 977.28 is: 1,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.46 : 2,504.82 = 977.28 : x
  2. Step 2: Convert to fraction form
    1,670.46/2,504.82 = 977.28/x
  3. Step 3: Cross multiply
    1,670.46x = 2,504.82 × 977.28
  4. Step 4: Simplify right side
    1,670.46x = 2,447,910.49
  5. Step 5: Solve for x
    x = 2,447,910.49/1,670.46
  6. Step 6: Final answer
    x = 1,465.41

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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.