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Finding the Fourth Proportional to 1,519.29, 2,278.17 and 594.15

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Solution

The fourth proportional to 1,519.29, 2,278.17 and 594.15 is: 890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.29 : 2,278.17 = 594.15 : x
  2. Step 2: Convert to fraction form
    1,519.29/2,278.17 = 594.15/x
  3. Step 3: Cross multiply
    1,519.29x = 2,278.17 × 594.15
  4. Step 4: Simplify right side
    1,519.29x = 1,353,574.71
  5. Step 5: Solve for x
    x = 1,353,574.71/1,519.29
  6. Step 6: Final answer
    x = 890.93

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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.