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Finding the Fourth Proportional to 1,519.03, 2,278.08 and 594.38

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Solution

The fourth proportional to 1,519.03, 2,278.08 and 594.38 is: 891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.03 : 2,278.08 = 594.38 : x
  2. Step 2: Convert to fraction form
    1,519.03/2,278.08 = 594.38/x
  3. Step 3: Cross multiply
    1,519.03x = 2,278.08 × 594.38
  4. Step 4: Simplify right side
    1,519.03x = 1,354,045.19
  5. Step 5: Solve for x
    x = 1,354,045.19/1,519.03
  6. Step 6: Final answer
    x = 891.39

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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.