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Finding the Fourth Proportional to 1,607.84, 2,412.67 and 1,146.75

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Solution

The fourth proportional to 1,607.84, 2,412.67 and 1,146.75 is: 1,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.84 : 2,412.67 = 1,146.75 : x
  2. Step 2: Convert to fraction form
    1,607.84/2,412.67 = 1,146.75/x
  3. Step 3: Cross multiply
    1,607.84x = 2,412.67 × 1,146.75
  4. Step 4: Simplify right side
    1,607.84x = 2,766,717.26
  5. Step 5: Solve for x
    x = 2,766,717.26/1,607.84
  6. Step 6: Final answer
    x = 1,720.77

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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.