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Finding the Fourth Proportional to 1,977.11, 2,965.80 and 590.33

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Solution

The fourth proportional to 1,977.11, 2,965.80 and 590.33 is: 885.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.11 : 2,965.80 = 590.33 : x
  2. Step 2: Convert to fraction form
    1,977.11/2,965.80 = 590.33/x
  3. Step 3: Cross multiply
    1,977.11x = 2,965.80 × 590.33
  4. Step 4: Simplify right side
    1,977.11x = 1,750,810.34
  5. Step 5: Solve for x
    x = 1,750,810.34/1,977.11
  6. Step 6: Final answer
    x = 885.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.