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Finding the Fourth Proportional to 1,710.24, 2,361.12 and 1,151.04

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Solution

The fourth proportional to 1,710.24, 2,361.12 and 1,151.04 is: 1,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.24 : 2,361.12 = 1,151.04 : x
  2. Step 2: Convert to fraction form
    1,710.24/2,361.12 = 1,151.04/x
  3. Step 3: Cross multiply
    1,710.24x = 2,361.12 × 1,151.04
  4. Step 4: Simplify right side
    1,710.24x = 2,717,743.56
  5. Step 5: Solve for x
    x = 2,717,743.56/1,710.24
  6. Step 6: Final answer
    x = 1,589.10

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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.