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Finding the Fourth Proportional to 1,776.68, 2,666.94 and 1,127.96

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Solution

The fourth proportional to 1,776.68, 2,666.94 and 1,127.96 is: 1,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.68 : 2,666.94 = 1,127.96 : x
  2. Step 2: Convert to fraction form
    1,776.68/2,666.94 = 1,127.96/x
  3. Step 3: Cross multiply
    1,776.68x = 2,666.94 × 1,127.96
  4. Step 4: Simplify right side
    1,776.68x = 3,008,201.64
  5. Step 5: Solve for x
    x = 3,008,201.64/1,776.68
  6. Step 6: Final answer
    x = 1,693.16

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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.