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Finding the Fourth Proportional to 2,174.42, 3,003.95 and 1,513.55

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Solution

The fourth proportional to 2,174.42, 3,003.95 and 1,513.55 is: 2,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.42 : 3,003.95 = 1,513.55 : x
  2. Step 2: Convert to fraction form
    2,174.42/3,003.95 = 1,513.55/x
  3. Step 3: Cross multiply
    2,174.42x = 3,003.95 × 1,513.55
  4. Step 4: Simplify right side
    2,174.42x = 4,546,617.29
  5. Step 5: Solve for x
    x = 4,546,617.29/2,174.42
  6. Step 6: Final answer
    x = 2,090.96

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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.