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Finding the Fourth Proportional to 1,920.53, 2,650.37 and 1,134.58

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Solution

The fourth proportional to 1,920.53, 2,650.37 and 1,134.58 is: 1,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.53 : 2,650.37 = 1,134.58 : x
  2. Step 2: Convert to fraction form
    1,920.53/2,650.37 = 1,134.58/x
  3. Step 3: Cross multiply
    1,920.53x = 2,650.37 × 1,134.58
  4. Step 4: Simplify right side
    1,920.53x = 3,007,055.85
  5. Step 5: Solve for x
    x = 3,007,055.85/1,920.53
  6. Step 6: Final answer
    x = 1,565.74

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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.