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Finding the Fourth Proportional to 1,777.68, 2,666.46 and 1,131.36

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Solution

The fourth proportional to 1,777.68, 2,666.46 and 1,131.36 is: 1,697.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.68 : 2,666.46 = 1,131.36 : x
  2. Step 2: Convert to fraction form
    1,777.68/2,666.46 = 1,131.36/x
  3. Step 3: Cross multiply
    1,777.68x = 2,666.46 × 1,131.36
  4. Step 4: Simplify right side
    1,777.68x = 3,016,726.19
  5. Step 5: Solve for x
    x = 3,016,726.19/1,777.68
  6. Step 6: Final answer
    x = 1,697.00

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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.