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Finding the Fourth Proportional to 1,577.99, 2,177.89 and 1,020.11

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Solution

The fourth proportional to 1,577.99, 2,177.89 and 1,020.11 is: 1,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.99 : 2,177.89 = 1,020.11 : x
  2. Step 2: Convert to fraction form
    1,577.99/2,177.89 = 1,020.11/x
  3. Step 3: Cross multiply
    1,577.99x = 2,177.89 × 1,020.11
  4. Step 4: Simplify right side
    1,577.99x = 2,221,673.93
  5. Step 5: Solve for x
    x = 2,221,673.93/1,577.99
  6. Step 6: Final answer
    x = 1,407.91

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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.