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Finding the Fourth Proportional to 1,509.69, 2,084.15 and 1,172.84

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Solution

The fourth proportional to 1,509.69, 2,084.15 and 1,172.84 is: 1,619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.69 : 2,084.15 = 1,172.84 : x
  2. Step 2: Convert to fraction form
    1,509.69/2,084.15 = 1,172.84/x
  3. Step 3: Cross multiply
    1,509.69x = 2,084.15 × 1,172.84
  4. Step 4: Simplify right side
    1,509.69x = 2,444,369.01
  5. Step 5: Solve for x
    x = 2,444,369.01/1,509.69
  6. Step 6: Final answer
    x = 1,619.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.