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Finding the Fourth Proportional to 1,977.54, 2,966.33 and 590.56

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Solution

The fourth proportional to 1,977.54, 2,966.33 and 590.56 is: 885.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.54 : 2,966.33 = 590.56 : x
  2. Step 2: Convert to fraction form
    1,977.54/2,966.33 = 590.56/x
  3. Step 3: Cross multiply
    1,977.54x = 2,966.33 × 590.56
  4. Step 4: Simplify right side
    1,977.54x = 1,751,781.01
  5. Step 5: Solve for x
    x = 1,751,781.01/1,977.54
  6. Step 6: Final answer
    x = 885.84

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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.