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Finding the Fourth Proportional to 1,619.02, 2,428.26 and 578.80

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Solution

The fourth proportional to 1,619.02, 2,428.26 and 578.80 is: 868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.02 : 2,428.26 = 578.80 : x
  2. Step 2: Convert to fraction form
    1,619.02/2,428.26 = 578.80/x
  3. Step 3: Cross multiply
    1,619.02x = 2,428.26 × 578.80
  4. Step 4: Simplify right side
    1,619.02x = 1,405,476.89
  5. Step 5: Solve for x
    x = 1,405,476.89/1,619.02
  6. Step 6: Final answer
    x = 868.10

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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.