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Finding the Fourth Proportional to 1,909.78, 2,633.17 and 1,484.53

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Solution

The fourth proportional to 1,909.78, 2,633.17 and 1,484.53 is: 2,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.78 : 2,633.17 = 1,484.53 : x
  2. Step 2: Convert to fraction form
    1,909.78/2,633.17 = 1,484.53/x
  3. Step 3: Cross multiply
    1,909.78x = 2,633.17 × 1,484.53
  4. Step 4: Simplify right side
    1,909.78x = 3,909,019.86
  5. Step 5: Solve for x
    x = 3,909,019.86/1,909.78
  6. Step 6: Final answer
    x = 2,046.84

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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.