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Finding the Fourth Proportional to 2,097.46, 3,145.40 and 616.37

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Solution

The fourth proportional to 2,097.46, 3,145.40 and 616.37 is: 924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.46 : 3,145.40 = 616.37 : x
  2. Step 2: Convert to fraction form
    2,097.46/3,145.40 = 616.37/x
  3. Step 3: Cross multiply
    2,097.46x = 3,145.40 × 616.37
  4. Step 4: Simplify right side
    2,097.46x = 1,938,734.98
  5. Step 5: Solve for x
    x = 1,938,734.98/2,097.46
  6. Step 6: Final answer
    x = 924.33

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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.