Home / 1,977.68-2,966.93-590.96

Finding the Fourth Proportional to 1,977.68, 2,966.93 and 590.96

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Solution

The fourth proportional to 1,977.68, 2,966.93 and 590.96 is: 886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.68 : 2,966.93 = 590.96 : x
  2. Step 2: Convert to fraction form
    1,977.68/2,966.93 = 590.96/x
  3. Step 3: Cross multiply
    1,977.68x = 2,966.93 × 590.96
  4. Step 4: Simplify right side
    1,977.68x = 1,753,334.00
  5. Step 5: Solve for x
    x = 1,753,334.00/1,977.68
  6. Step 6: Final answer
    x = 886.56

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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.