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Finding the Fourth Proportional to 4,106.69, 6,160.64 and 1,509.43

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Solution

The fourth proportional to 4,106.69, 6,160.64 and 1,509.43 is: 2,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.69 : 6,160.64 = 1,509.43 : x
  2. Step 2: Convert to fraction form
    4,106.69/6,160.64 = 1,509.43/x
  3. Step 3: Cross multiply
    4,106.69x = 6,160.64 × 1,509.43
  4. Step 4: Simplify right side
    4,106.69x = 9,299,054.84
  5. Step 5: Solve for x
    x = 9,299,054.84/4,106.69
  6. Step 6: Final answer
    x = 2,264.37

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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.