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Finding the Fourth Proportional to 1,710.71, 2,361.36 and 1,213.46

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Solution

The fourth proportional to 1,710.71, 2,361.36 and 1,213.46 is: 1,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.71 : 2,361.36 = 1,213.46 : x
  2. Step 2: Convert to fraction form
    1,710.71/2,361.36 = 1,213.46/x
  3. Step 3: Cross multiply
    1,710.71x = 2,361.36 × 1,213.46
  4. Step 4: Simplify right side
    1,710.71x = 2,865,415.91
  5. Step 5: Solve for x
    x = 2,865,415.91/1,710.71
  6. Step 6: Final answer
    x = 1,674.99

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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.