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Finding the Fourth Proportional to 1,894.31, 2,614.46 and 1,097.50

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Solution

The fourth proportional to 1,894.31, 2,614.46 and 1,097.50 is: 1,514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.31 : 2,614.46 = 1,097.50 : x
  2. Step 2: Convert to fraction form
    1,894.31/2,614.46 = 1,097.50/x
  3. Step 3: Cross multiply
    1,894.31x = 2,614.46 × 1,097.50
  4. Step 4: Simplify right side
    1,894.31x = 2,869,357.83
  5. Step 5: Solve for x
    x = 2,869,357.83/1,894.31
  6. Step 6: Final answer
    x = 1,514.72

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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.