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Finding the Fourth Proportional to 2,094.62, 2,888.14 and 1,740.96

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Solution

The fourth proportional to 2,094.62, 2,888.14 and 1,740.96 is: 2,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.62 : 2,888.14 = 1,740.96 : x
  2. Step 2: Convert to fraction form
    2,094.62/2,888.14 = 1,740.96/x
  3. Step 3: Cross multiply
    2,094.62x = 2,888.14 × 1,740.96
  4. Step 4: Simplify right side
    2,094.62x = 5,028,113.07
  5. Step 5: Solve for x
    x = 5,028,113.07/2,094.62
  6. Step 6: Final answer
    x = 2,400.49

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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.