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Finding the Fourth Proportional to 1,742.01, 2,614.77 and 1,013.01

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Solution

The fourth proportional to 1,742.01, 2,614.77 and 1,013.01 is: 1,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.01 : 2,614.77 = 1,013.01 : x
  2. Step 2: Convert to fraction form
    1,742.01/2,614.77 = 1,013.01/x
  3. Step 3: Cross multiply
    1,742.01x = 2,614.77 × 1,013.01
  4. Step 4: Simplify right side
    1,742.01x = 2,648,788.16
  5. Step 5: Solve for x
    x = 2,648,788.16/1,742.01
  6. Step 6: Final answer
    x = 1,520.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.