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Finding the Fourth Proportional to 2,516.46, 3,775.08 and 1,693.01

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Solution

The fourth proportional to 2,516.46, 3,775.08 and 1,693.01 is: 2,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.46 : 3,775.08 = 1,693.01 : x
  2. Step 2: Convert to fraction form
    2,516.46/3,775.08 = 1,693.01/x
  3. Step 3: Cross multiply
    2,516.46x = 3,775.08 × 1,693.01
  4. Step 4: Simplify right side
    2,516.46x = 6,391,248.19
  5. Step 5: Solve for x
    x = 6,391,248.19/2,516.46
  6. Step 6: Final answer
    x = 2,539.78

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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.