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Finding the Fourth Proportional to 1,566.80, 2,338.11 and 1,402.77

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Solution

The fourth proportional to 1,566.80, 2,338.11 and 1,402.77 is: 2,093.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.80 : 2,338.11 = 1,402.77 : x
  2. Step 2: Convert to fraction form
    1,566.80/2,338.11 = 1,402.77/x
  3. Step 3: Cross multiply
    1,566.80x = 2,338.11 × 1,402.77
  4. Step 4: Simplify right side
    1,566.80x = 3,279,830.56
  5. Step 5: Solve for x
    x = 3,279,830.56/1,566.80
  6. Step 6: Final answer
    x = 2,093.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.