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Finding the Fourth Proportional to 2,017.84, 3,024.87 and 786.04

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Solution

The fourth proportional to 2,017.84, 3,024.87 and 786.04 is: 1,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.84 : 3,024.87 = 786.04 : x
  2. Step 2: Convert to fraction form
    2,017.84/3,024.87 = 786.04/x
  3. Step 3: Cross multiply
    2,017.84x = 3,024.87 × 786.04
  4. Step 4: Simplify right side
    2,017.84x = 2,377,668.81
  5. Step 5: Solve for x
    x = 2,377,668.81/2,017.84
  6. Step 6: Final answer
    x = 1,178.32

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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.