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Finding the Fourth Proportional to 2,736.69, 4,106.66 and 1,006.53

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Solution

The fourth proportional to 2,736.69, 4,106.66 and 1,006.53 is: 1,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.69 : 4,106.66 = 1,006.53 : x
  2. Step 2: Convert to fraction form
    2,736.69/4,106.66 = 1,006.53/x
  3. Step 3: Cross multiply
    2,736.69x = 4,106.66 × 1,006.53
  4. Step 4: Simplify right side
    2,736.69x = 4,133,471.46
  5. Step 5: Solve for x
    x = 4,133,471.46/2,736.69
  6. Step 6: Final answer
    x = 1,510.39

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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.