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Finding the Fourth Proportional to 1,920.94, 2,650.71 and 1,134.88

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Solution

The fourth proportional to 1,920.94, 2,650.71 and 1,134.88 is: 1,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.94 : 2,650.71 = 1,134.88 : x
  2. Step 2: Convert to fraction form
    1,920.94/2,650.71 = 1,134.88/x
  3. Step 3: Cross multiply
    1,920.94x = 2,650.71 × 1,134.88
  4. Step 4: Simplify right side
    1,920.94x = 3,008,237.76
  5. Step 5: Solve for x
    x = 3,008,237.76/1,920.94
  6. Step 6: Final answer
    x = 1,566.02

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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.