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Finding the Fourth Proportional to 2,106.53, 3,160.52 and 936.63

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Solution

The fourth proportional to 2,106.53, 3,160.52 and 936.63 is: 1,405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.53 : 3,160.52 = 936.63 : x
  2. Step 2: Convert to fraction form
    2,106.53/3,160.52 = 936.63/x
  3. Step 3: Cross multiply
    2,106.53x = 3,160.52 × 936.63
  4. Step 4: Simplify right side
    2,106.53x = 2,960,243.34
  5. Step 5: Solve for x
    x = 2,960,243.34/2,106.53
  6. Step 6: Final answer
    x = 1,405.27

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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.