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Finding the Fourth Proportional to 1,919.89, 2,646.62 and 1,358.62

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Solution

The fourth proportional to 1,919.89, 2,646.62 and 1,358.62 is: 1,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.89 : 2,646.62 = 1,358.62 : x
  2. Step 2: Convert to fraction form
    1,919.89/2,646.62 = 1,358.62/x
  3. Step 3: Cross multiply
    1,919.89x = 2,646.62 × 1,358.62
  4. Step 4: Simplify right side
    1,919.89x = 3,595,750.86
  5. Step 5: Solve for x
    x = 3,595,750.86/1,919.89
  6. Step 6: Final answer
    x = 1,872.89

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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.