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Finding the Fourth Proportional to 1,577.99, 2,177.81 and 1,020.08

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Solution

The fourth proportional to 1,577.99, 2,177.81 and 1,020.08 is: 1,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.99 : 2,177.81 = 1,020.08 : x
  2. Step 2: Convert to fraction form
    1,577.99/2,177.81 = 1,020.08/x
  3. Step 3: Cross multiply
    1,577.99x = 2,177.81 × 1,020.08
  4. Step 4: Simplify right side
    1,577.99x = 2,221,524.44
  5. Step 5: Solve for x
    x = 2,221,524.44/1,577.99
  6. Step 6: Final answer
    x = 1,407.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.