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Finding the Fourth Proportional to 1,710.09, 2,361.84 and 1,523.58

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Solution

The fourth proportional to 1,710.09, 2,361.84 and 1,523.58 is: 2,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.09 : 2,361.84 = 1,523.58 : x
  2. Step 2: Convert to fraction form
    1,710.09/2,361.84 = 1,523.58/x
  3. Step 3: Cross multiply
    1,710.09x = 2,361.84 × 1,523.58
  4. Step 4: Simplify right side
    1,710.09x = 3,598,452.19
  5. Step 5: Solve for x
    x = 3,598,452.19/1,710.09
  6. Step 6: Final answer
    x = 2,104.25

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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.