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Finding the Fourth Proportional to 1,618.79, 2,428.70 and 578.77

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Solution

The fourth proportional to 1,618.79, 2,428.70 and 578.77 is: 868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.79 : 2,428.70 = 578.77 : x
  2. Step 2: Convert to fraction form
    1,618.79/2,428.70 = 578.77/x
  3. Step 3: Cross multiply
    1,618.79x = 2,428.70 × 578.77
  4. Step 4: Simplify right side
    1,618.79x = 1,405,658.70
  5. Step 5: Solve for x
    x = 1,405,658.70/1,618.79
  6. Step 6: Final answer
    x = 868.34

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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.