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Finding the Fourth Proportional to 1,519.17, 2,097.75 and 929.90

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Solution

The fourth proportional to 1,519.17, 2,097.75 and 929.90 is: 1,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.17 : 2,097.75 = 929.90 : x
  2. Step 2: Convert to fraction form
    1,519.17/2,097.75 = 929.90/x
  3. Step 3: Cross multiply
    1,519.17x = 2,097.75 × 929.90
  4. Step 4: Simplify right side
    1,519.17x = 1,950,687.24
  5. Step 5: Solve for x
    x = 1,950,687.24/1,519.17
  6. Step 6: Final answer
    x = 1,284.05

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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.