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Finding the Fourth Proportional to 1,741.58, 2,402.70 and 1,520.54

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Solution

The fourth proportional to 1,741.58, 2,402.70 and 1,520.54 is: 2,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.58 : 2,402.70 = 1,520.54 : x
  2. Step 2: Convert to fraction form
    1,741.58/2,402.70 = 1,520.54/x
  3. Step 3: Cross multiply
    1,741.58x = 2,402.70 × 1,520.54
  4. Step 4: Simplify right side
    1,741.58x = 3,653,401.46
  5. Step 5: Solve for x
    x = 3,653,401.46/1,741.58
  6. Step 6: Final answer
    x = 2,097.75

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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.