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Finding the Fourth Proportional to 1,741.03, 2,610.06 and 645.19

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Solution

The fourth proportional to 1,741.03, 2,610.06 and 645.19 is: 967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.03 : 2,610.06 = 645.19 : x
  2. Step 2: Convert to fraction form
    1,741.03/2,610.06 = 645.19/x
  3. Step 3: Cross multiply
    1,741.03x = 2,610.06 × 645.19
  4. Step 4: Simplify right side
    1,741.03x = 1,683,984.61
  5. Step 5: Solve for x
    x = 1,683,984.61/1,741.03
  6. Step 6: Final answer
    x = 967.23

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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.