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Finding the Fourth Proportional to 1,741.46, 2,600.80 and 1,395.32

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Solution

The fourth proportional to 1,741.46, 2,600.80 and 1,395.32 is: 2,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.46 : 2,600.80 = 1,395.32 : x
  2. Step 2: Convert to fraction form
    1,741.46/2,600.80 = 1,395.32/x
  3. Step 3: Cross multiply
    1,741.46x = 2,600.80 × 1,395.32
  4. Step 4: Simplify right side
    1,741.46x = 3,628,941.28
  5. Step 5: Solve for x
    x = 3,628,941.28/1,741.46
  6. Step 6: Final answer
    x = 2,083.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.