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Finding the Fourth Proportional to 1,519.43, 2,097.01 and 856.50

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Solution

The fourth proportional to 1,519.43, 2,097.01 and 856.50 is: 1,182.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.43 : 2,097.01 = 856.50 : x
  2. Step 2: Convert to fraction form
    1,519.43/2,097.01 = 856.50/x
  3. Step 3: Cross multiply
    1,519.43x = 2,097.01 × 856.50
  4. Step 4: Simplify right side
    1,519.43x = 1,796,090.58
  5. Step 5: Solve for x
    x = 1,796,090.58/1,519.43
  6. Step 6: Final answer
    x = 1,182.08

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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.