Home / 1,982.52-2,973.60-595.86

Finding the Fourth Proportional to 1,982.52, 2,973.60 and 595.86

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Solution

The fourth proportional to 1,982.52, 2,973.60 and 595.86 is: 893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.52 : 2,973.60 = 595.86 : x
  2. Step 2: Convert to fraction form
    1,982.52/2,973.60 = 595.86/x
  3. Step 3: Cross multiply
    1,982.52x = 2,973.60 × 595.86
  4. Step 4: Simplify right side
    1,982.52x = 1,771,849.30
  5. Step 5: Solve for x
    x = 1,771,849.30/1,982.52
  6. Step 6: Final answer
    x = 893.74

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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.