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Finding the Fourth Proportional to 1,735.83, 2,602.67 and 1,085.13

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Solution

The fourth proportional to 1,735.83, 2,602.67 and 1,085.13 is: 1,627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.83 : 2,602.67 = 1,085.13 : x
  2. Step 2: Convert to fraction form
    1,735.83/2,602.67 = 1,085.13/x
  3. Step 3: Cross multiply
    1,735.83x = 2,602.67 × 1,085.13
  4. Step 4: Simplify right side
    1,735.83x = 2,824,229.87
  5. Step 5: Solve for x
    x = 2,824,229.87/1,735.83
  6. Step 6: Final answer
    x = 1,627.02

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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.