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Finding the Fourth Proportional to 1,615.53, 2,424.36 and 885.62

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Solution

The fourth proportional to 1,615.53, 2,424.36 and 885.62 is: 1,329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.53 : 2,424.36 = 885.62 : x
  2. Step 2: Convert to fraction form
    1,615.53/2,424.36 = 885.62/x
  3. Step 3: Cross multiply
    1,615.53x = 2,424.36 × 885.62
  4. Step 4: Simplify right side
    1,615.53x = 2,147,061.70
  5. Step 5: Solve for x
    x = 2,147,061.70/1,615.53
  6. Step 6: Final answer
    x = 1,329.01

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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.