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Finding the Fourth Proportional to 2,174.85, 3,001.58 and 1,335.40

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Solution

The fourth proportional to 2,174.85, 3,001.58 and 1,335.40 is: 1,843.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.85 : 3,001.58 = 1,335.40 : x
  2. Step 2: Convert to fraction form
    2,174.85/3,001.58 = 1,335.40/x
  3. Step 3: Cross multiply
    2,174.85x = 3,001.58 × 1,335.40
  4. Step 4: Simplify right side
    2,174.85x = 4,008,309.93
  5. Step 5: Solve for x
    x = 4,008,309.93/2,174.85
  6. Step 6: Final answer
    x = 1,843.03

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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.