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Finding the Fourth Proportional to 2,096.51, 2,891.86 and 1,740.35

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Solution

The fourth proportional to 2,096.51, 2,891.86 and 1,740.35 is: 2,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.51 : 2,891.86 = 1,740.35 : x
  2. Step 2: Convert to fraction form
    2,096.51/2,891.86 = 1,740.35/x
  3. Step 3: Cross multiply
    2,096.51x = 2,891.86 × 1,740.35
  4. Step 4: Simplify right side
    2,096.51x = 5,032,851.43
  5. Step 5: Solve for x
    x = 5,032,851.43/2,096.51
  6. Step 6: Final answer
    x = 2,400.59

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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.