Home / 1,977.58-2,966.55-1,003.42

Finding the Fourth Proportional to 1,977.58, 2,966.55 and 1,003.42

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Solution

The fourth proportional to 1,977.58, 2,966.55 and 1,003.42 is: 1,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.58 : 2,966.55 = 1,003.42 : x
  2. Step 2: Convert to fraction form
    1,977.58/2,966.55 = 1,003.42/x
  3. Step 3: Cross multiply
    1,977.58x = 2,966.55 × 1,003.42
  4. Step 4: Simplify right side
    1,977.58x = 2,976,695.60
  5. Step 5: Solve for x
    x = 2,976,695.60/1,977.58
  6. Step 6: Final answer
    x = 1,505.22

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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.