Home / 1,977.49-2,966.11-590.83

Finding the Fourth Proportional to 1,977.49, 2,966.11 and 590.83

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Solution

The fourth proportional to 1,977.49, 2,966.11 and 590.83 is: 886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.49 : 2,966.11 = 590.83 : x
  2. Step 2: Convert to fraction form
    1,977.49/2,966.11 = 590.83/x
  3. Step 3: Cross multiply
    1,977.49x = 2,966.11 × 590.83
  4. Step 4: Simplify right side
    1,977.49x = 1,752,466.77
  5. Step 5: Solve for x
    x = 1,752,466.77/1,977.49
  6. Step 6: Final answer
    x = 886.21

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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.